The volume of a cylinder is 93 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

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The volume of a cylinder is 93 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

Mathematics
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A cone that fits inside a cylinder has the same height as the cylinder and also has the same radius of the base as the cylinder. That means r and h are the same in the two formulas. The only difference is the 1/3 fraction in the volume of a cone. So the answer is 31 because the volume of the cone has the same height and radius as a cylinder and is 1/3 the size and that's what the formulas show.

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