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The formula of total surface area of a sphere in terms of pi (π) is given by: Surface area = 4 π r2 square units. The difference between a sphere and a circle is that a circle is a two-dimensional figure or a flat shape, whereas, a sphere is a three-dimensional shape.
To find the surface area (A) of a sphere from its volume (V), follow these steps: Multiply the volume by itself to obtain the volume squared: V 2. Multiply this by 36 and pi to get: 36 × π × V 2. Take the cube root of this expression to obtain the surface area of the sphere: A = ³√(36 × π × V 2). Do these steps seem tedious?
A sphere with radius \(r\) has a volume of \( \frac{4}{3} \pi r^3 \) and a surface area of \( 4 \pi r^2 \). A sphere has several interesting properties, one of which is that, of all shapes with the same surface area, the sphere has the largest volume.
To find the surface area of a sphere, use the equation 4πr2, where r stands for the radius, which you will multiply by itself to square it. Then, multiply the squared radius by 4. For example, if the radius is 5, it would be 25 times 4, which equals 100.
The surface area of a sphere is the entire region covered by its outer round surface. It is also the curved surface area of a sphere. Like all other surface area it is expressed in square units such as m 2, cm 2, and mm 2. We will learn how to find the surface area of a solid sphere. The equations are given below.
Surface Area of a Sphere. Unlike a cone, cube, or cylinder, a sphere does not have any edges. So a sphere has only one continuous surface. And the area covered by this surface is the surface area of the sphere. Formula | Surface Area of a Sphere. For a sphere with a radius \hspace {0.2em} r \hspace {0.2em} r, the surface area is given by.
The surface area of a sphere is the area covered by the outer surface of the sphere. Learn how to determine the surface area of a sphere using examples.
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: where r is the radius of the hemisphere.
Our surface area calculator can find the surface area of seven different solids. 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 a is the side length.
Surface area of sphere explained with pictures, examples and practice problems worked out.