SOLUTION: A sphere of radius r is inscribed in a cube. What is the ratio of the volume of the sphere to the volume of the cube?

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Question 194064: A sphere of radius r is inscribed in a cube. What is the ratio of the volume of the sphere to the volume of the cube?
Answer by Alan3354(69443) About Me  (Show Source):
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A sphere of radius r is inscribed in a cube. What is the ratio of the volume of the sphere to the volume of the cube?
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V+of+sphere+=+4%2Api%2Ar%5E3%2F3
V+of+cube+=+%282r%29%5E3+=+8r%5E3
Vs/Vc = (4pi/3)/8
= ~ 4.1888/8
= ~ 0.5236 to 1