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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

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