and sum the area of all the shaded portions as t → 0 noting that δt = Rδθ. A = ∫2π 0 2RRdθ. or. A = 4πR2. Or more directly A = ∫2πRt = 02Rdt. † this is the same as the area of the 2R × t face of the wedge which leads to a simple proof that the surface area of a sphere is the same as that of its surrounding cylinder.The surface area of sphere formula: Area = 4\[\pi\] r 2 . where ‘r’ is the radius of the sphere. Interesting Facts: The sphere is the shape that has the smallest area for a given volume. Due to this reason bubbles, water droplets are of the shape of a sphere. The area of a sphere is exactly equal to four times the area of a circle having ...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. Radius, r =14 cm. By the formula, Surface area of a sphere = 4πr 2. On substitution, we get, SA = 4 x 3.14 x 14 x 14. = 2,461.76 cm 2. Example 2. The diameter of a baseball is 18 cm. Find the surface area of the ball. …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 …Explanation: One common form of parametric equation of a sphere is: (x,y,z) = (ρcosθsinϕ,ρsinθsinϕ,ρcosϕ) where ρ is the constant radius, θ ∈ [0,2π) is the longitude and ϕ ∈ [0,π] is the colatitude. Since the surface of a sphere is two dimensional, parametric equations usually have two variables (in this case θ and ϕ ).From the above Java Program to find Volume and Surface Area of Sphere screenshot, you can observe that we have entered the Radius of a Sphere = 6. The Surface Area of a Sphere is. Surface Area = 4πr². Surface Area = 4 * Math.PI * radius * radius; Surface Area = 4 * 3.14 * 6 * 6. Surface Area = 314.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 …The surface area of a sphere is \(4\pi \text{ ft}^{2}\). What is the volume? The volume of a sphere is \(36\pi \text{ mi}^{3}\). What is the surface area? Find the radius of the sphere that has a volume of \(335 …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. Solved Examples on Surface Area of a Sphere in Terms of Diameter. Example 1: Find the surface area of a sphere with diameter = 21 units. (Use π = 22/7) Solution: Given Diameter of the sphere (D) = 21 units. Surface area of a sphere = πD 2 = (22/7) 21 2 = 22 × 3 × 21 = 1386 units 2. Answer: Surface area of the hemisphere = 1386 units 2. Learn how to calculate the area of a sphere using the formula 4πr², where r is the radius of the sphere. Find out the properties, examples and practice questions of sphere and its volume. See the difference between total surface area and curved surface area of a sphere. The formula depends on the type of solid. Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere. Surface area of a cube: A = 6a², where …Step 1: Take advantage of the sphere's symmetry. The sphere with radius 2 is, by definition, all points in three-dimensional space satisfying the following property: x 2 + y 2 + z 2 = 2 2. This expression is very similar to the function: f ( x, y, z) = ( x − 1) 2 + y 2 + z 2. In fact, we can use this to our advantage... Process 1: Note down the sphere volume from the question. Divide 3 times of volume by 4 times of π. Calculate the cube root of the result to check the radius. Process 2: Find the sphere circumference. Divide the circumference by 2 times π. The obtained value is known as the radius of a sphere. Process 3:Email has long been a staple of communication in both personal and professional spheres. From catching up with friends to receiving important updates from businesses, our inboxes a...Spherical cap. An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane.Email has long been a staple of communication in both personal and professional spheres. From catching up with friends to receiving important updates from businesses, our inboxes a...Expensive cities like New York can drain your wallet. Learn how moving to a lower cost-of-living area can help you and improve your finances. After five years living in New York Ci...Jan 21, 2020 · Calculate the volume and surface area of a sphere using our formulas. Find the surface area and volume of composite figures such as cylinders and spheres or cones and spheres. Video – Lesson & Examples. 58 min. Introduction to spheres; 00:00:22 – How to find the volume and surface area of a sphere (Examples #1-3) Exclusive Content for ... Sphere Area Calculator Formula and Variables: The Sphere Area Calculator uses these values: A = 4 π r 2. Variables: A (Surface Area of the Sphere): Represents the calculated surface area, typically measured in square units. r (Radius of the Sphere): Denotes the distance from the center of the sphere to any point on its surface. …Part two to my question: Using this same logic of using infinitesimals, I tried to find the surface area of a sphere and looked at it as the sum of infinite rings. $\displaystyle A =2 \int_0^r 2\pi x dy$ $=> \displaystyle A = 2 \int_0^r 2\pi …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.As mentioned above, a sphere has no edges or vertices. But the earth is slightly flattened on the poles, which makes its shape un-sphere-ish. Its shape is given a special name: the geoid. A sphere with radius r r has volume \frac {4} {3} \pi r^3 34πr3 and surface area 4 \pi r^2 4πr2. Interesting fact: Of all shapes with the same surface area ...Surface Area of a Sphere. 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 a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh 2 π r h where h = 2r h = 2 r .The circumference of a sphere is the circumference of a great circle. Every great circle divides a sphere into two congruent hemispheres. Surface Area. Surface area is a two-dimensional measurement that is the total area of all surfaces that bound a solid. The basic unit of area is the square unit. Surface Area of a Sphere: S A = 4 π r 2. VolumeIn today’s digital age, communication plays a vital role in both personal and professional spheres. Traditional telephone systems have paved the way for more advanced and cost-effe...A sphere’s surface area is the total area that the sphere’s surface covers. It is measured in square units. A mathematical constant π has an approximate value of 3.14159. Key Concepts. The surface area of a sphere does not depend on its orientation in space.The formula is 4 * pi * r^2, where r is the radius of the sphere. Why do we need to calculate the area of a sphere? Calculating the area of a sphere is useful in many fields, such as construction and design. How accurate is the formula for sphere area calculation? The formula is highly accurate assuming a perfect sphere and precise radius ...Spherical cap. An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane.Learn how to calculate the area, surface area and volume of various shapes and solids using formulas and examples. This chapter covers polygons, circles, prisms, pyramids, cones, cylinders, spheres and composite figures. This is a course for elementary school teachers who want to teach math effectively.Learn how to find the surface area of a sphere using the formula A = 4πr^2, where r is the radius. See how to derive the formula from the curved surface area of a cylinder and …Intuitively, since the radius remains a constant for just the surface area (i.e., you are not adding up the infinitesimally thin "layers" of the sphere, just the most outer one), the radius differential and integral is unnecessary, thus making the integral $$ A = R^2\int_0^{\pi}\int_0^{2\pi} \sin(\phi) \, d\theta d\phi \; \;\small(2)$$Surface Area of Cylinder = 2 Pi r h. h = 2r. Surface Area of Cylinder = 2 x Pi x r x 2r. Surface Area of Cylinder =. 4Pir 2. We established that the surface area of a sphere is equal to the surface area of the cylinder that …The Surface area of a Sphere = 452.39 The Volume of a Sphere = 904.78 >>> Area_of_Triangle(11) The Surface area of a Sphere = 1520.53 The Volume of a Sphere = 5575.28 >>> In this Python Program to find Volume and Surface Area of Sphere, First, We imported the math library using the following statement.Satellite data firm Planet's plans to go public are the big news in space business Dear readers, Welcome to Quartz’s newsletter on the economic possibilities of the extraterrestria...In today’s ever-connected world, diversity and inclusion have become key drivers of success for organizations, especially in the corporate sphere. One of the most significant advan...I believe it follows from this formula for spherical area of quadrangles on Wikipedia that the area should be $$ 4 \arctan\left(\sin\left(\frac b 2\right) \tan\left(\frac \lambda 2\right)\right), $$ assuming that the radius of the sphere is 1, where $$ \lambda = \arccos\left(\frac{\cos(a) - \sin\left(\frac b 2\right)^2}{\cos\left(\frac b 2 ...Example: Find the surface area of a sphere of radius 7 cm. Step 1: Note the radius of the given sphere. Here, the radius of the sphere is 47 cm. Step 2: We know that the surface area of a sphere = 4πr2. So, substitute the value of the given radius in the equation = 4 × (3.14) × (7)2 = 616 cm2.When we see a perfectly symmetrical 3D circular object, then we call it a sphere. A sphere comes without any edges. If we plot two random points on the surface of the sphere then they will be of same distance from center. The line that would pass through the radius of the sphere is the longest line. The area is denoted with respect to square units.A c = 2 π r 2. Ac = 2 \pi r^2 Ac = 2πr2. Total surface area of a hemisphere: A = 3 π r 2. A = 3 \pi r^2 A = 3πr2. Surface to volume ratio of a hemisphere: A / V = 9 / ( 2 r) A / V = 9 / (2 r) A/V = 9/(2r). After some simple algebraic transformations, with the above equations, we can finally write six explicit volume of hemisphere formulas ...When finding the surface area, in addition to halving the surface area of a sphere you will also need to calculate the area of the circle at the base. Question Calculate the surface area of the ...The radius of a Sphere Calculator – Example. If you know that the surface area of a sphere is 40 m^ {2} , calculate the radius of a sphere. r=\sqrt {\frac {A} {4 \cdot \pi}} The radius of a sphere calculator does the previous calculation for you and all other variants depending on the given parameters. Try to check the results using our tool.A = 2464 cm2. The volume of a sphere is found using the formula: V = (4/3) π r3. V = (4/3) x (22/7) x (14)3. V = 11494.04 cc. Therefore, the volume and total surface area of a sphere of radius 14 cm are 11494.04 cc and 2464 cm2 respectively. 3. The volume of a sphere is found to be 729 cc. Find its radius.The surface area of a sphere is the region covered by its outer surface in three-dimensional space. The formula is SA = 4 π r 2 square units, where r is the radius of the sphere. Learn how to calculate the surface area of a sphere using this formula and see solved examples with solutions. Surface Area of a Sphere and a Hemisphere Example Problems with Solutions. Example 1: Find the total surface area of the hemisphere of radius 20 cm.(Take π = 3.14). Solution: Total surface area of the hemisphere = 3πr 2 = 3 × 3.14 × (20) 2 cm 2 [Given : r = 20 cm]Many people find out about LightStream while looking for a personal loan. The relatively new company is making waves in the lending sphere, offering competitive rates and borrower-...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. The surface area of a sphere is four times the area of the largest cross-sectional circle, called the great circle. SA = 4πr2 = πd2. SA = surface area; r = radius of sphere; d = diameter of sphere. When asked to find the surface area of a hemisphere, be sure to read the question carefully. Will the surface area.Explanation: One common form of parametric equation of a sphere is: (x,y,z) = (ρcosθsinϕ,ρsinθsinϕ,ρcosϕ) where ρ is the constant radius, θ ∈ [0,2π) is the longitude and ϕ ∈ [0,π] is the colatitude. Since the surface of a sphere is two dimensional, parametric equations usually have two variables (in this case θ and ϕ ).The surface area of a sphere is 4πr 2. The volume of the sphere is 4/3πr 3. In geometry, half of a sphere is known as a "hemisphere". The total surface area and the volume of a hemisphere formula are exactly half of the sphere area and sphere volume formulas. Related Topics. Check these interesting articles related to the sphere shape. The surface area of a sphere is 4*pi*r^2. The lateral area of a cylinder is the height times the circumference of the base, or 2*pi*r*h. For a cylinder of height 2r, that makes S = 2*pi*r*(2r) = 4*pi*r^2 Whether you think it's impossible or not, it's true! The surface area of a sphere is the same as the lateral surface area of the cylinder into ...The sphere has the minimum surface area for a given volume. OR. The sphere has the maximum volume for a given surface area. Let's simplify the three-dimensional problem into two-dimensions by considering the following statement: The circle has the maximum area for a given perimeter (boundary). Few things to consider while …The surface area of a sphere in terms of diameter is the area covered by the curved surface of a sphere in the terms of its diameter. A sphere is a three-dimensional shape that is …Find the surface area of a sphere using the formula S = 4πR2, where R is the radius of the sphere. Enter the radius in the input box and get the area instantly with our sphere area …5 days ago · A sphere is defined as the set of all points in three-dimensional Euclidean space R^3 that are located at a distance r (the "radius") from a given point (the "center"). Twice the radius is called the diameter, and pairs of points on the sphere on opposite sides of a diameter are called antipodes. Unfortunately, geometers and topologists adopt incompatible conventions for the meaning of "n ... Find the Surface Area sphere (r) r = r r = r. The surface area of a sphere is equal to 4 4 times Pi π π times the radius squared. 4π⋅(radius)2 4 π ⋅ ( r a d i u s) 2. Substitute the value of the radius r = r r = r into the formula to find the surface area of the sphere. Pi π π is approximately equal to 3.14 3.14. 4⋅π⋅r2 4 ⋅ π ...How to calculate area and volume of a sphere in Python. Sphere: A sphere is defined as the perfect geometrical shape in 3D space that looks like a completely round ball.on the other hand we can say that a sphere is a set of purposes that area unit all at constant distance r from a given point. the formula for area of the sphere is : area of ...Since March, people throughout the world have been living within at least two separate spheres of reality. One sphere is inhabited by those who have changed their daily habits in l...Radius, r =14 cm. By the formula, Surface area of a sphere = 4πr 2. On substitution, we get, SA = 4 x 3.14 x 14 x 14. = 2,461.76 cm 2. Example 2. The diameter of a baseball is 18 cm. Find the surface area of the ball. …The sphere would have the most volume out of all the forms with the same surface area. 4/3 r3 is the formula for sphere volume. A flat two-dimensional surface (plane) that goes through the center of a sphere can divide it into two equal hemispheres.Learn what a sphere is, how to calculate its surface area and volume, and its equation and properties. See examples, solved problems and FAQs on sphere.The formula depends on the type of solid. Surface area of a sphere: A = 4πr², where r stands for the radius of the sphere. Surface area of a cube: A = 6a², where …Spherical cap. An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane.Surface area of a sphere shape. The surface area of a sphere is the area which covers the outer surface of a sphere. The formula for the surface area of a sphere is: \text{Surface Area}=4 \pi r^2 . E.g. Find the surface area of the sphere. This …Example: find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).The area of a disk enclosed by a circle of radius R is pi*R 2. The formula for the circumference of a circle of radius R is 2*Pi*R. A simple calculus check reveals that the latter is the derivative of the former with respect to R. Similarly, the volume of a ball enclosed by a sphere of radius R is (4/3)*Pi*R 3. And the formula for the surface area of a sphere of …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.The surface area of the sphere is 4069.44 cm2. Example 4: Find the surface area of a sphere, whose radius is given as r = 11 cm. Solution: The formula for calculating the surface area of sphere is given by: SA = 4 × π × r 2 SA = 4 × 3.14 × 11 2 SA = 1519.76 The surface area of sphere is 1519.76 cm 2. Aug 3, 2023 · Step 2: As we are aware, the formula for the surface area of a sphere is given by 4πr2. When we substitute the value of r as 9, we find that the surface area of the sphere equals 4 × 3.14 × (9)2, which simplifies to 4 × 3.14 × 81, resulting in 1017.36. Step 3: Consequently, the surface area of the sphere measures 1017.36 square inches. If you know the volume of a sphere, you can calculate the surface area based on the following formula: A = ϖ 1 / 3 (6V) 2 / 3. where. V = Volume. ϖ = Pi = 3.14159265... A = Surface Area. This surface area of a sphere calculator determines the surface area of a sphere if provided with the radius, the diameter, the circumference, or the volume ... In your case the curve is a semi circle revolved about the x-axis. If the centroid of the semi-circle is d units apart from the x-axis, then the surface area of the sphere is. 2 π d × π R. where R is radius of the sphere. Apparently d = 2 R π so you get the correct answer for the surface area. Share.A sphere is a perfectly round three-dimensional object that is defined by its surface area and volume. The surface area of an object is the amount of area needed to cover the outside surface of ...Example 1: surface area of a sphere given the radius. Find the surface area of the sphere below. Write your answer to 1 1 decimal place. Write down the formula. To answer the question we need to use the formula for the surface area of a sphere: \text {Surface area}=4 \pi r^2 Surface area = 4πr2.If you neglect to clean these 5 kitchen and bath areas, it could be hazardous to your health and hard on your wallet. Expert Advice On Improving Your Home Videos Latest View All Gu...The surface area of the sphere is 4069.44 cm2. Example 4: Find the surface area of a sphere, whose radius is given as r = 11 cm. Solution: The formula for calculating the surface area of sphere is given by: SA = 4 × π × r 2 SA = 4 × 3.14 × 11 2 SA = 1519.76 The surface area of sphere is 1519.76 cm 2. 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.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 ..."Radius" - The distance of a straight line that extends from the center of the sphere to any point on the surface of the sphere. Calculating the Surface Area of a Sphere Using Radius. If you know the radius of a sphere, you can calculate the surface area based on the following formula: A = 4 ϖ r 2. where A = Surface Area ϖ = Pi = 3.14159265...The surface area of a sphere is 4πr 2. Since a hemisphere is half of a sphere, its surface area, S, is half the surface area of a sphere plus the area of the circular base (shown in gray) created by intersection of the plane and sphere: S = 4πr 2 /2 + πr 2 = 3πr 2. where r is the radius of the hemisphere. Call the length of an edge of the cube s. The area of each side is therefore s2. The cube has six faces, so its surface area is 6 s2. Set this equal to the given surface area of 486 square inches and solve for s: Thus, the edges of the cube are 9 inches, and because the basketball has the same width as the box it comes in, the diameter of the ...From the above Java Program to find Volume and Surface Area of Sphere screenshot, you can observe that we have entered the Radius of a Sphere = 6. The Surface Area of a Sphere is. Surface Area = 4πr². Surface Area = 4 * Math.PI * radius * radius; Surface Area = 4 * 3.14 * 6 * 6. Surface Area = 314.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.Nov 21, 2023 · The area of a sphere and the surface area of a sphere are the same. The surface area is the quantity that covers the entire sphere. The formula for the surface area of a sphere is V = 4 * pi* r ... 2 Answers. Sorted by: 5. The Wikipedia article gives the volume of the 4-dimensional hypersphere, with radius r, to be. V = π 2 2 r 4. The surface area can be found by differentiating with respect to r: A = d V d r = 2 π 2 r 3. The article also gives a proof of how to calculate the volume, and hence surface area. Share.Animation. And because of our special correspondence, we know that the total area of all the alternating rings on the sphere is exactly double the total shadow area. So adding up the areas of these rings of the sphere gives a surface area of 2\pi R^2 2πR2: The total surface area of these rings is $2\pi R^2.He realized that the surface area of a sphere is equal to the lateral surface area of a cylinder that has a similar radius as the sphere and has the same height and length as the sphere’s diameter. A = 2 * π * r * h, A = 2 * π * r * d, therefore d = 2 * r: A = 2 * π * r * 2 * r A = 4πr², This is a common area of a sphere formula. You can ...The Surface area of a Sphere = 452.39 The Volume of a Sphere = 904.78 >>> Area_of_Triangle(11) The Surface area of a Sphere = 1520.53 The Volume of a Sphere = 5575.28 >>> In this Python Program to find Volume and Surface Area of Sphere, First, We imported the math library using the following statement.A = 2464 cm2. The volume of a sphere is found using the formula: V = (4/3) π r3. V = (4/3) x (22/7) x (14)3. V = 11494.04 cc. Therefore, the volume and total surface area of a sphere of radius 14 cm are 11494.04 cc and 2464 cm2 respectively. 3. The volume of a sphere is found to be 729 cc. Find its radius.Surface Area = 4 x π x Radius2 A sphere has a radius of 10 Surface Area = 4 x π x 102 Surface Area = 4 x 3.14159 x 100 Surface Area = 1256.63 Step 1: Convert volume to radius Radius = 3√((3 x Volume)… Spherical cap. An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane.
A sphere is a three-dimensional object with constant distance from a center point. Learn how to calculate its volume, surface area, and other properties using formulas, diagrams, and …. Daneliya tuleshova
A fun night out with friends shouldn't break the bank, but your budget shouldn't prevent you from going out at all. Managing my finances in most spheres of my life is straightforwa...Learn what a sphere is, how to calculate its surface area and volume, and its equation and properties. See examples, solved problems and FAQs on sphere.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 nearer the circle to the center of the sphere, the greater is its area. The largest circle in the sphere is the great circle. The radius (diameter) of the great circle is the radius (diameter) of the sphere. All great circles of a sphere are equal. Every great circle divides the sphere into two equal parts called hemispheres.surface area of a sphere gives us just such an answer. We’ll think of our sphere as a surface of revolution formed by revolving a half circle of radius a about the x-axis. We’ll be integrating with respect to x, and we’ll let the bounds on our integral be x 1 and x 2 with −a ≤ x 1 ≤ x 2 ≤ a as sketched in Figure 1. x1 x2 For example, the surface area of a sphere with radius r ... Sometimes you are just given a surface which is implicitly defined, like a sphere defined by x 2 + y 2 + z 2 = 1 ...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. The radius of a Sphere Calculator – Example. If you know that the surface area of a sphere is 40 m^ {2} , calculate the radius of a sphere. r=\sqrt {\frac {A} {4 \cdot \pi}} The radius of a sphere calculator does the previous calculation for you and all other variants depending on the given parameters. Try to check the results using our tool.Animation. And because of our special correspondence, we know that the total area of all the alternating rings on the sphere is exactly double the total shadow area. So adding up the areas of these rings of the sphere gives a surface area of 2\pi R^2 2πR2: The total surface area of these rings is $2\pi R^2.Steps for Finding the Volume of a Sphere are given below-. Step 1: The first step is to find the radius of a sphere and cubic it. Step 2: And then take the product of \frac {4} {3}\Pi and then cube the radius of the given sphere. Step 3: And lastly, write the answer in the unit of measurement..