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You have a cube with a volume of 64 cubic meters. The volume of a cube is V=sÃ‚Â³, where s is the length of a side of the cube. 4Ãƒâ€”4Ãƒâ€”4=64, so the cube is 4 meters on a side.

You now have a cylinder that fits inside that cube. That means that it is 4 meters high and has a diameter on the base of 4 meters, giving it a radius of 2 meters. The volume of a cylinder is V=Ãâ‚¬rÃ‚Â²h, where r is the radius and h is the height. That works out to Ãâ‚¬Ãƒâ€”2Ã‚Â²Ãƒâ€”4 = 16Ãâ‚¬, or about 50.265 cubic meters.

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Q: How do you find the volume of largest cylinder with circular base that inscribe in a cube whose volume is 64 cubic meters?

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