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Question

The cube below has sides of length 4 feet. If a cylindrical section of radius 2 feet is removed from the solid, what is the total remaining volume of the cube? Express your answer in cubic feet in terms of

π

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Accepted Answer

The cube has volume 4^3=64 cubic feet. The cylinder has radius 2, height 4, and volume (2^2)(4)=16 cubic feet. It follows that when the cylindrical section is removed from the solid, the remaining volume is 64-16 cubic feet.