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24 June, 02:52

The volume of a cylinder is 81 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer.

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  1. 24 June, 06:28
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    V (cylinder) = r² π h

    V (cone) = 1/3 r² π h

    A cone that fits exactly inside the cylinder has the volume:

    V (cone) = 1/3 V (cylinder = 1/3 · 81 = 27 ft³
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