# Sphere: Volume

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

## Theorem

V = [4/3]πr^{3}

V: Volume of a sphere

r: Radius

Proof of the Formula (Disc Integration)

## Formular = 6, V = ?

Solution

Solution (Detail)

r = 6

Then V = [4/3]⋅π⋅6^{3}.

Cancel the denominator 3

and reduce 6^{3} to,

6^{3}/3 = [6⋅6^{2}]/3 = [6/3]⋅6^{2},

2⋅6^{2}.

4π⋅2 = 8π

6^{2} = 36

8⋅36 = 288

So the volume of the sphere is 288π.