Circumscribed Sphere Volume
A cube with a side length (S) of 2 has a circumscribed sphere with a volume (V) of 21.7656.
Circumscribed 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 that circumscribes a cube with side length S:
- R = S * √3/2
by combining the two formulae we can determine the Volume of a circumscribed sphere in terms of cube Side length
- V = (4/3)π(S * √3/2)3
Given a cube with a side length S the volume (V) of a circumscribed sphere can be found by substituting the formula for finding the Radius of a circumscribed sphere into the formula for finding the Volume of a sphere.