# Volume of a Sphere Equation

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A sphere is a perfectly symmetrical geometric shape and it does not contain any edges or vertices (corners). A sphere is closed solid structure and has a center and from this center, every point on the surface of the sphere is always equidistant (which means all the points on the surface of the sphere are at the same distance from the center of the sphere). Volume of a sphere is the amount of space contained inside it and its volume depends on the radius of the sphere.

Example 1: Calculate the volume of the spherewhose radius is 3m.

Given radius of the sphere, r = 3m

Volume of the sphere, V = 4/3 * π * r3

Substituting the radius of the sphere in the above volume formula, we get

Volume of the sphere, V = 4/3 * π * (3m) 3==> 4/3 * π * 27m3 = 36π

Volume, V = 113.1m3

Therefore, volume of the given sphere, V = 113.1m3

Example 2: Calculate the volume of the spherewhose radius is 6m.

Given radius of the sphere, r = 6m

Volume of the sphere, V = 4/3 * π * r3

Substituting the radius of the sphere in the above volume formula, we get

Volume of the sphere, V = 4/3 * π * (6m) 3 ==> 4/3 * π * 216m3 = 288π

Volume, V = 904.8m3

Therefore, volume of the given sphere, V = 904.8m3