Sphere: Volume

How to find the volume of a sphere: formula, 1 example, and its solution.

Formula

Formula

V = [4/3]πr3

V: Volume of a sphere
r: Radius

Proof of the Formula (Disc Integration)

Example

Example

Solution

r = 6

Then V = [4/3]⋅π⋅63.

Cancel the denominator 3

and reduce 63 to,
63/3 = [6⋅62]/3 = [6/3]⋅62,
2⋅62.

4π⋅2 = 8π
62 = 36

8⋅36 = 288

So the volume of the sphere is 288π.