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4 August, 13:47

a cone has a volume of 6 cubic inches. what is the volume of a cylinder that the cone fits exactly inside of

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  1. 4 August, 15:26
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    = 18 cubic inches

    Step-by-step explanation:

    The volume of a cone is given by the formula;

    V = 1/3 * base area * height

    While that of cylinder is given by the formula;

    Volume = Base area * height

    Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.

    Therefore;

    The cone has three times less volume compared to the cylinder.

    Thus;

    Volume of the cylinder = Volume of cone * 3

    = 6 In³ * 3

    = 18 cubic inches
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