SOLUTION: A sphere is circumscribed about an 8-inch by 8-inch by 8-inch cube. Find the volume of the sphere to the nearest cubic inch. Thanks!

Question 618928: A sphere is circumscribed about an 8-inch by 8-inch by 8-inch cube. Find the volume of the sphere to the nearest cubic inch. Thanks!
Found 2 solutions by mananth, Alan3354:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Since the sphere is circumscribed by the cube the radius of the sphere = 4 in
Volume of sphere = 4/3 pi r^3
Volume = 4/3 * 22/7 * 4^3
= 268 cu.in
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A sphere is circumscribed about an 8-inch by 8-inch by 8-inch cube. Find the volume of the sphere to the nearest cubic inch.
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The diameter of the sphere = the cube's long diagonal between 2 vertices not on the same face.

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For the sphere:
cubic inches

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