SOLUTION: A cylinder with a height of 15 and a diameter of 20 is placed inside a 20 cm cube. What percent of the volume of the cube is not taken up by the cylinder?

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Question 135093: A cylinder with a height of 15 and a diameter of 20 is placed inside a 20 cm cube. What percent of the volume of the cube is not taken up by the cylinder?
Answer by solver91311(24713) About Me  (Show Source):
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Volume of a cylinder: V%5Bcyl%5D=pi%2Ar%5E2h

Volume of a cube: V%5Bcube%5D=s%5E3

Volume not taken up by cylinder: s%5E3-pi%2Ar%5E2h

Radius of cylinder = 10 (half the diameter)

Height of cylinder = 15 (given)

Side of cube = 20

8000-pi%2A1500=3287.61, approx.

3287.61%2F8000=.41, so 41%