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18 September, 19:54

A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Show all work

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  1. 18 September, 23:30
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    24 cubic inches

    Step-by-step explanation:

    The formulas for the volume of a cylinder and cone are ...

    volume of a cylinder = πr^2·h

    volume of a cone = (1/3) πr^2·h

    For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...

    (1/3) · (72 cubic inches) = 24 cubic inches
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