The surface area of a sphere is measured to be 100π square meters. What is the diameter of the sphere in meters? Solution: First, we will plug the surface area value into the formula and solve for the radius r. SA = 4πr 2. 100π = 4πr 2. 25 = r 2. r = 5. Now that we have the radius, let's convert it to diameter.Radius of the sphere: It is the distance from the centre of the sphere to any point on the surface of the sphere and is denoted by ‘r’. Diameter of sphere: The diameter is the longest line segment that can be drawn between two points on the sphere. Its length is twice the radius of the sphere, i.e. Diameter = 2\(r\). It is usually denoted by ‘d’.Jan 16, 2024 · Steps Download Article 1 Know the parts of the equation, Surface Area = 4πr2. This nearly ancient formula is still the easiest way to determine the surface area of a sphere. [2] Using almost any calculator, you can plug in the radius to get the surface area of your sphere. Wolfram Demonstrations Project. Published: October 3 2014. Of all the shapes a sphere has the smallest surface area for a given volume What about a cylinders surface area With a properly chosen ratio of height to radius how close can the cylinders surface area get to the spheres surface area of the same volume Use the sliders to explore these ...This tutorial offers a clear and comprehensive guide to finding the surface area of a sphere, a fundamental concept in geometry. Whether you're a student, ed...Check out the new merchandise shop here: https://the-gcse-maths-tutor.myspreadshop.co.uk/Join this channel to get access to perks:https://www.youtube.com/cha...Step 2: Write the formula for surface area of the sphere. Surface area of Sphere = A = 4πr2. Step 3: Substitute the values of “r” and “π” in above formula. Surface area of Sphere = A = 4 (3.14) (40)2. Surface area of Sphere = A = 20106.193cm2. Correct! Your answer perfectly matches with sphere calculator.Feb 26, 2013 ... Finding the Surface Area of a Sphere.A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat ... The total surface area of the sphere = Curved surface area of sphere + base area. We know that the base of the hemisphere is circular in shape, use the area of the circle. TSA = 2πr 2 + πr 2 = 3πr 2. Therefore, The total surface area of a hemisphere = 3πr2 square units. Where π is a constant whose value is equal to 3.14 approximately.The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education.Sphere Surface Area. The area covered by the outer surface of the sphere is known as the surface area of a sphere. It is measured in square units. Hence, the formula to find the surface area of a sphere is: Surface Area of Sphere, S = 4πr 2. In terms of diameter, the surface area of a sphere is given as S = 4π(d/2) 2, where d is The total surface area formula of cone = T = πr (r + l) =3.14 × 6 × (6 + 9) =282.6 inches 2. ∴The surface area of cone will be 282.6 inches2. Example 3: Using the surface area formula of the cube find the surface area of the cube whose side is 4 inches. Solution: Given side length of cube = 4 inches.The surface area of a sphere is given by the formula. Area. =. 4. π. r. 2. Where r is the radius of the sphere. In the figure above, drag the orange dot to change the radius of the sphere and note how the formula is used to calculate the surface area. The procedure to use the surface area of a sphere calculator is as follows: Step 1: Enter the radius value in the input field. Step 2: Now click the button “Solve” to get the sphere surface area. Step 3: Finally, the surface area of a …Calculator. Enter the radius, diameter, surface area or volume of a Sphere to find the other three. The calculations are done "live": How to Calculate the Volume and Surface Area Related Queries: body surface area, 172cm, 58kg; map projections; algebraic degree of sphere; moment of inertia tensor of solid of sphere; surface area of sphere Calculate sphere surface area step by step. Equations. Inequalities. Scientific Calculator. Scientific Notation Arithmetics. Complex Numbers. Polar/Cartesian. Simultaneous Equations. System of Inequalities.An online sphere calculator is exclusively designed to calculate the radius, volume, surface area, and circumference of a sphere body with 100% precision. You can analyze any sphere in terms of its parameters by using this free sphere volume calculator.Jan 18, 2024 · Learn how to find the area of a sphere using different formulas and parameters, such as radius, diameter, volume, and surface to volume ratio. Use the calculator to estimate or calculate the surface area of any sphere in various units, including SI and imperial. Area of a Sphere Example 1. Find the surface area of the sphere below to 1 decimal place. The formula for the area of a sphere is: A = 4 π r 2. If we substitute the values of the radius into this equation, we get: A = 4 π ( 8) 2 = 4 π ( 64) = 256 π. This gives us a final answer of: A = 804.2 c m 2.pdf, 213.29 KB. Free preview - This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking. Under the hood. Finding the volume and surface area of a sphere. Finding the volume and surface area of …Celebrating National Paranormal Day by watching the skies this May 3rd? Well, whether you’re a believer or a skeptic, today certainly has us feeling a bit like that poster from The...The surface area of the sphere is given and we will have to figure out the volume of the same sphere. For your information, below is the formula to find the surface area of a sphere. [latex]\text{Surface Area of Sphere} = 4\pi {r^2}[/latex] It may sound complex, but it’s really not. The key is to use the formula of the area of the sphere to ...The surface area of a sphere is given by two following formulas: The surface area of sphere = 2πrh; If the diameter of the sphere = 2r, then the surface area of the sphere = 4πr 2 square units. The area of a sphere is always expressed in square units, like m 2, in 2, cm 2, yd 2, etc. The volume of a sphere is the total amount of capacity ...Related Queries: body surface area, 172cm, 58kg; map projections; algebraic degree of sphere; moment of inertia tensor of solid of sphere; surface area of sphere Surface Area: The surface area of a sphere is the total area of its rolling surface. The formula to calculate the surface area of a sphere is given by, SA $=$ 4 r2 , where r is the radius of the circle and π(pi) is approximately 3.14. It is measured in square units. Sony's Xplod subwoofers feature a unique pentagonal cone that provides a large surface area for high-performance bass output. Despite the pentagonal cone, the woofers are built int...Surface area of a sphere. New Resources. Thin Slice: Special Triangle Theorems (1B) Surface between curves2-sphere wireframe as an orthogonal projection Just as a stereographic projection can project a sphere's surface to a plane, it can also project a 3-sphere into 3-space. ... these recurrences can be used to compute the surface area of any sphere or volume of any ball. Spherical coordinatesThe surface area of a sphere is the region covered by its outer surface. On the other hand, the volume represents the three-dimensional space occupied by the figure. We can calculate the surface area of a sphere using the formula A=4πr² and we can calculate its volume using the formula V= (4/3)πr³, where r is the radius of the sphere.A sphere is the set of points at a fixed distance from a center in three-dimensional space. Learn how to calculate the surface area and volume of a sphere, and …A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for …Jan 24, 2011 ... In this video, Mahalo math expert Allison Moffett shows you how to find the surface area of a sphere. Surface Area of a Sphere ...From the area of a sphere calculator, we know that the surface area of a sphere is as below: A(sphere) = 4 × π × r². You can think about it as two times the cap surface area of a hemisphere. Therefore, the hemisphere cap area equals: Ac = A(sphere) / 2. Ac = 2 × π × r². The base surface area is a circle with the same radius as …2-sphere wireframe as an orthogonal projection Just as a stereographic projection can project a sphere's surface to a plane, it can also project a 3-sphere into 3-space. ... these recurrences can be used to compute the surface area of any sphere or volume of any ball. Spherical coordinatesJun 22, 2023 · So, the radius of the sphere = diameter 2 = 10 cm 2 = 5 cm. We know that the surface area of a sphere is calculated as. A = 4 π r 2. So, the surface area of a sphere of radius 5 cm = 4 × 22 7 × 5 × 5 c m 2. = 4 × 22 × 5 × 5 7 cm. = 314.28 c m 2. Q.3. The surface area of a sphere is 201 sq m. Jan 30, 2024 · Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere. Surface area of a cube: A = 6a², where a is the side length. Surface area of a cylinder: A = 2πr² + 2πrh, where r is the radius and h is the height of the cylinder. Surface area of a cone: A = πr² + πr√(r² + h²), where r is the radius and h is the ... Volume = 4/3 πr 3. = 4 ÷ 3 x 3.14 x 3 x 3 x 3. = 113.04 feet 3. Things to Remember. Surface area of sphere = 4πr 2. Volume of a sphere = 4/3 πr 3. You only need to know the radius to figure both the volume and surface area of a sphere. Answers for surface area problems should always be in square units. Answers for volume problems should ...Derivation. Archimedes, the famous Greek polymath, found that the surface area of a sphere is equal to the curved surface area of a cylinder with a radius equal to the sphere's radius and height equal to the sphere's diameter. Now, the curved surface area of a cylinder is given by –. A_c = 2 \pi r h Ac = 2πrh. A sphere is defined by three axes, x-axis, y-axis and z-axis. The region occupied by a circle is simply an area. The formula of the area is πr2. A sphere has a surface area covered by its outer surface, which is equal to 4πr2. It does not have any volume.What is a curved surface area? For a sphere, the curved surface area is the entire surface area of the sphere. It can be calculated by multiplying 4π (where π is approximately 3.14159) by the square of the radius of the sphere. Formula: Curved Surface area of sphere = 4 × π × r 2. How to find the volume and surface area of a sphere? …General Formula. Surface area of a sphere = 4 × π × r². The surface area of a sphere with radius r is directly proportional to r², where 4 × π is the constant of proportionality. A sphere is the shape of a basketball, like a three-dimensional circle. Just like a circle, the size of a sphere is determined by its radius, which is the distance from the center of the sphere to any point on its surface. The formulas for the volume and surface area of a sphere are given below. Surface Area of Sphere Examples. Example 1: If the radius of a sphere is 20 feet, find its surface area. (Use π = 3.14). Solution: Given, the radius 'r' of the sphere = 20 feet. The surface area of the sphere = 4πr 2 = 4 × π × 20 2 = 5024 feet 2. ∴ The surface area of the sphere is 5024 feet 2. The surface area of the sphere can be approximated using the bases of the square pyramids, as nA, where A is the area of each base of the square pyramids used to approximate the sphere, and n is the total number of pyramids used to approximate the sphere. Given that the formula for the surface area of a sphere is 4πr 2, nA ≈ 4πr 2Example 4 Find the surface area of a sphere of radius 7 cm. Given r = 7cm Surface Area of sphere = 4πr2 = 4 × 22/7 × 7 × 7 cm2 = 4 × 22× 1 × 7 cm2 = 616 cm2. Next: Example 5 Important → Ask a doubt. Chapter 11 Class 9 Surface Areas and Volumes.We get more details about the Microsoft Surface tablet, Apple announces a special event, Boxee releases a DVR, and Gmail expands its beta for new search features. We get more detai...A study of more than half a million tweets paints a bleak picture. Thousands of people around the world have excitedly made a forceful political point with a well-honed and witty t...Learn how to calculate the volume and surface area of a sphere using the formula and examples. Find out how to apply the formula to spherical shapes with different diameters …What is a curved surface area? For a sphere, the curved surface area is the entire surface area of the sphere. It can be calculated by multiplying 4π (where π is approximately 3.14159) by the square of the radius of the sphere. Formula: Curved Surface area of sphere = 4 × π × r 2. How to find the volume and surface area of a sphere? Example 1: Test your understanding of Volume and surface area with these % (num)s questions. Start test. Volume and surface area help us measure the size of 3D objects. We’ll start with the volume and surface area of rectangular prisms. From there, we’ll tackle trickier objects, such as cones and spheres.Test your understanding of Volume and surface area with these % (num)s questions. Start test. Volume and surface area help us measure the size of 3D objects. We’ll start with the volume and surface area of rectangular prisms. From there, we’ll tackle trickier objects, such as cones and spheres. I assume you mean the surface area, since a square pyramid is 3-dimensional. For a right square pyramid with base side length s and slant height L, the total surface area is the area of the square base with side length s, plus the total area of four triangles each with base s and altitude L. So the total surface area is s^2 + 4(1/2)(sL) = s^2 ... Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. ... solution. Find the radius of the sphere. ... Use this number in the surface area formula. Use ...A study of more than half a million tweets paints a bleak picture. Thousands of people around the world have excitedly made a forceful political point with a well-honed and witty t...surface area of a sphere. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…There are many objects containing gas and liquid that have an efficient spherical shape. Consider the shapes of body cells and bubbles. Circles are the most efficient shapes to have the greatest area for the same perimeter. Spheres are the most efficient shape to have the largest volume for the same surface area. (Volume of Sphere = 4 ⁄ 3 π r 3) Feb 17, 2024 · The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and height the length of the diameter of the sphere. The surface area of the sphere is defined as the number of square units required to cover the surface. Terms of a Sphere: Instead, we find the area of its entire surface area all at once using the surface area formula for a sphere: SA = 4Πr2 S A = 4 Π r 2. Where, again, r r is equal to our radius. Remember that the formula for the area of a two dimensional circle is A = Πr2 A = Π r 2. The surface area of a sphere is simply 4 times that.Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area. Example: if you blow up a balloon it naturally forms a sphere because it is trying to hold as much air as possible with as small a surface as possible. Press the Play button to see. Surface Area. The surface area of a sphere is the total region covered by its outer surface. It is expressed in square units such as m 2, cm 2, and mm 2. The formula is given below: Surface Area (SA) = 4πr 2, here π = 22/7 = 3.141, r = radius. Let us solve an example to understand the above concept better.Learn how to calculate the surface area of a sphere using the formula 4πr2, where r is the radius. See solved examples, practice problems, and frequently asked questions about spheres and their properties.If spheres were fashion, they’d undoubtedly be haute couture – timeless, elegant, and perfectly round. So, buckle up and bring your geometry game on, because things are about to get round here! The formula to calculate the surface area of a sphere is: 4 * π * r^2. Where r is the radius of the sphere. Examples using the surface area of sphere formula. Let us take a look at some examples related to surface area of spheres. Find the surface area of a sphere of radius 5 ft. Solution: π S = 4 π r 2 = 4 × π × 5 2 = 314. 29 f t 2. Find the surface area of a sphere given that the area of its great circle is 35 square units.Therefore, The Curved Surface Area of Hemisphere =1/2 × 4 × πr 2. Curved surface area of a hemisphere = 2πr 2 . Since a sphere is a combination of a curved surface and a flat base, to find the total surface area we need to sum up both the areas. The flat base being a plane circle has an area πr 2. Total surface area of a hemisphere is 2πr ...Celebrating National Paranormal Day by watching the skies this May 3rd? Well, whether you’re a believer or a skeptic, today certainly has us feeling a bit like that poster from The...The total surface area formula of cone = T = πr (r + l) =3.14 × 6 × (6 + 9) =282.6 inches 2. ∴The surface area of cone will be 282.6 inches2. Example 3: Using the surface area formula of the cube find the surface area of the cube whose side is 4 inches. Solution: Given side length of cube = 4 inches.And the sum of their base areas is the surface area of the sphere: 4 pi r^2. So the volume is the same as that of a pyramid whose base is the surface area of the sphere and whose height is its radius: V = 1/3 4 pi r^2 * …Largest Volume for Smallest Surface. Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area. Example: if you blow up a balloon it naturally forms a sphere because it is trying to hold as much air as possible with as small a surface as possible.1. Determine the surface area of a sphere with a radius of 7 units. 2. What is its radius if a sphere’s surface area is 144π square units? 3. Find the sphere’s surface area with a diameter of 10 units. 4. A spherical balloon has a radius of 5 cm. Find the surface area of the balloon. 5. A sphere has a surface area of 300π square units. Surface area of sphere = 4πr 2. Substitute the radius value in above formula. A = 4π (3.2) 2. = 4 x 3.14 x 3.2 x 3.2. = 128.6 cm 2. Surface Area of Sphere is 128.6 cm 2. Onlinecalculator.guru has a plenty of calculators like Volume of Cylinder, Volume of Cuboid, Interpolation, Midpoint, Distance Between Two Points and many more.The Volume and surface area formula for Sphere are as follows: Volume of a Sphere (V) = 4/3πr3. Surface Area of a Sphere (A) = 4πr2. Where, π is a mathematical constant approximately equal to 3.14159. r= Radius of the Sphere. The formulas for diameter, area and volume are given in the following table: Property.Algae is a green, slimy substance that can be found on many surfaces, including vinyl siding. It often grows in humid climates and thrives in areas where Expert Advice On Improving...May 22, 2009 ... This video gives you a visual representation of the formula for finding the surface area of a sphere.The biggest circle of a sphere is a circle that has the same centre and radius of a sphere. A great circle of the sphere is a circle that has the same radius and centre as the sphere itself. In this article, let us discuss how to derive the equation of a sphere along with the surface area and the volume of the sphere in detail.Natural stone is a timeless and elegant choice for flooring, countertops, and other surfaces in your home. However, over time, these surfaces can become dull, stained, or damaged d...Solution: The surface area of a sphere = 4πr 2. = 4 × 3.14 × 4 2. = 4 × 3.14 × 16. = 200.96 square units. Therefore, the surface area of the sphere = 200.96 square units. Similarly, you can try the surface area of a sphere calculator to find the surface area of the sphere if the radius is. 1) 4units, 2) 11units, 3) 12units.A sphere has no faces. A sphere is defined as a round symmetrical object, while a face is defined a flat surface of an object. By definition a sphere does not have any faces. In ge...If you own an apartment complex, you know how hard it can be to keep things looking great. There’s plenty of surface area to cover when it comes to Expert Advice On Improving Your ...Surface Area of a Sphere = 4 pi r 2 (r is radius of circle) ... Surface Area = 2(Area of top) + (perimeter of top)* height Surface Area = 2(pi r 2) + (2 pi r)* h In words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps ...Increased Offer! Hilton No Annual Fee 70K + Free Night Cert Offer! On this week’s MtM Vegas we have so much to talk about including a new look at MSG Sphere and Circus Circus getti...The new title registry for crypto wallets set to signal a complete paradigm shift in how institutions see cryptoLOS ANGELES, CA / ACCESSWIRE / Aug... The new title registry for cry...The surface area formula for a sphere is 4 x π x (diameter / 2)2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius2. Visual on …Wolfram Demonstrations Project. Published: October 3 2014. Of all the shapes a sphere has the smallest surface area for a given volume What about a cylinders surface area With a properly chosen ratio of height to radius how close can the cylinders surface area get to the spheres surface area of the same volume Use the sliders to explore these ...Formula for the surface area of sphere = 4πr 2 = 4×(22/7)×7 2 = 616. Surface area of a sphere is 616 cm 2 (ii) Radius (r) of sphere = 21/2 = 10.5 cm. Surface area of a sphere = 4πr 2 = 4×(22/7)×10.5 2 = 1386. Surface area of a sphere is 1386 cm 2. Therefore, the surface area of a sphere having a diameter 21 cm is 1386 cm 2Increased Offer! Hilton No Annual Fee 70K + Free Night Cert Offer! On this week’s MtM Vegas we have so much to talk about including a new look at MSG Sphere and Circus Circus getti...Determine the lateral surface area of the outer cylindrical surface using the formula Ao = 2πroh. Find the lateral surface area of the inner cylindrical surface using the formula Ai = 2πrih. Add all these areas to find the total surface area of the hollow cylinder to get A = 2π ( (ro² - ri²) + roh + rih). Dominik Czernia, PhD.This tool will calculate the surface area of a sphere from the radius, and will convert different measurement units for radius and surface area. Formula. The formula used to calculate sphere volume is: A = 4 · π · r 2. Symbols. A = Sphere surface area; π = Pi = 3.14159… r = Sphere radius; Radius of Sphere. Enter the radius of a sphere.I assume you mean the surface area, since a square pyramid is 3-dimensional. For a right square pyramid with base side length s and slant height L, the total surface area is the area of the square base with side length s, plus the total area of four triangles each with base s and altitude L. So the total surface area is s^2 + 4(1/2)(sL) = s^2 ...
Learn how to calculate the surface area of a sphere and other common 3D solids using formulas and examples. Use the online calculator to find the surface area of …. Specs liquor near me
Algae is a green, slimy substance that can be found on many surfaces, including vinyl siding. It often grows in humid climates and thrives in areas where Expert Advice On Improving...Learn how to calculate the surface area of a sphere and other common 3D solids using formulas and examples. Use the online calculator to find the surface area of …It is "common knowledge'' that the surface area of a sphere of radius \(r\) is \(4\pi r^2\). We confirm this in the following example, which involves using our formula with polar coordinates. Example …The surface area of a three-dimensional object is the total area of all its faces. Learn about the surface area of cylinder, cuboid, cube, cone, sphere, hemisphere, prisms with definitions, surface area formulas & solved examples from Cuemath. The formula for the volume of a cylinder is: V = Π x r^2 x h. "Volume equals pi times radius squared times height." Now you can solve for the radius: V = Π x r^2 x h <-- Divide both sides by Π x h to get: V / (Π x h) = r^2 <-- Square root both sides to get: sqrt (V / …The formula for the volume of a cylinder is: V = Π x r^2 x h. "Volume equals pi times radius squared times height." Now you can solve for the radius: V = Π x r^2 x h <-- Divide both sides by Π x h to get: V / (Π x h) = r^2 <-- Square root both sides to get: sqrt (V / …Surface area of a sphere. The surface area formula for a sphere is 4 x π x (diameter / 2) 2, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4 x π x radius 2. Visual on the figure below: The uneven heating of the Earth’s surface is caused by the sun. This occurs because the Earth is a tilted sphere and the sun does not heat all its surfaces equally and because the ...This tutorial offers a clear and comprehensive guide to finding the surface area of a sphere, a fundamental concept in geometry. Whether you're a student, ed...We know that the total surface area of the hemisphere = 3πr2. Thus, TSA = 3 × 22 7 × 14 × 14. = 3 × 22 × 2 × 14. = 1848 square units. Therefore, the total surface area of the hemisphere is 1848 square units. Example 2: Find the surface area of a hollow hemisphere whose outer radius measures 20 units and inner radius is 10 units.Steps Download Article 1 Know the parts of the equation, Surface Area = 4πr2. This nearly ancient formula is still the easiest way to determine the surface area of …2. Our (hemi)sphere is x2 +y2 +z2 = 1 x 2 + y 2 + z 2 = 1, so a sphere of radius 1 1. Therefore the entire hemisphere lies exactly between z = 0 z = 0 and z = 1 z = 1. Thus the area is 2πr2 = 2π 2 π r 2 = 2 π. This avoids the hassle of the integration (which admittedly I do not understand)Surface Area of a Sphere = 4 pi r 2 (r is radius of circle) ... Surface Area = 2(Area of top) + (perimeter of top)* height Surface Area = 2(pi r 2) + (2 pi r)* h In words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps ...The procedure to use the surface area of a sphere calculator is as follows: Step 1: Enter the radius value in the input field. Step 2: Now click the button “Solve” to get the sphere surface area. Step 3: Finally, the surface area of a …So, the radius of the sphere = diameter 2 = 10 cm 2 = 5 cm. We know that the surface area of a sphere is calculated as. A = 4 π r 2. So, the surface area of a sphere of radius 5 cm = 4 × 22 7 × 5 × 5 c m 2. = 4 × 22 × 5 × 5 7 cm. = 314.28 c m 2. Q.3. The surface area of a sphere is 201 sq m.Given, surface area of sphere = 616 cm 2. We know surface area of sphere = 4 π r 2 = 616. ⇒ 4 × 22 7 × r 2 = 616 cm 2. ⇒ r 2 = 49 ⇒ r = 7 cm Volume of a sphere of radius ' r ' = 4 3 π r 3 = 4 3 × 22 7 × 7 × 7 × 7 = 1437.33 cm 3Feb 17, 2024 · The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and height the length of the diameter of the sphere. The surface area of the sphere is defined as the number of square units required to cover the surface. Terms of a Sphere: The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the surface area of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume. Created by Sal Khan and Monterey Institute for Technology and Education..