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)πR3
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.