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Volume Ratios: Sphere Inscribed in Cube

ACTMAT-GUTNNJ

A sphere is inscribed in a cube (each face of the cube is tangent to the sphere).

What is the ratio of the volume of the sphere to the volume of the cube?

A

$ \cfrac{\pi}{6} $

B

$ \cfrac{\pi}{3} $

C

$ \cfrac{\pi}{2} $

D

$ \cfrac{2\pi}{3} $

E

$ \cfrac{4\pi}{3} $