## Inscribed Sphere Volume

A cube with a side length (S) of 5 has an inscribed sphere with a volume (V) of 65.4498.

## Inscribed Sphere Volume Formula

the Volume of a sphere with radius (R) can be found with this formula

- V = (4/3)πR
^{3}

the radius (R) of a sphere inscribed in a cube with side length S can be found with this formula

- R = S/2

by combining the two formulae we can determine the Volume of an inscribed sphere in terms of cube Side length

**V = (4/3)π(S/2)**^{3}

Given a cube with a side length S the volume (V) of an inscribed sphere can be found by substituting the formula for finding the Radius of an inscribed sphere into the formula for finding the Volume of a sphere.