Tangent Sphere Volume
A cube with a side length (S) of 5 has a sphere tangent to its edges with a volume (V) of 185.1201.
Tangent 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 tangent to the edges of a cube with side length S can be determined
- R = S/√2
the Volume of a sphere tangent to the edge of a cube 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 a sphere tangent to the edges of a cube can be found by substituting the formula for finding the Radius of a tangent sphere into the formula for finding the Volume of a sphere.