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17 October, 17:40

A sphere and a cone have the same volume and each has a radius of 6 centimeters what is the height of the cone

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  1. 17 October, 17:46
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    V (sphere) = (4/3) πr³

    V (cone) = (1/3) πr²h

    V (sphere) = V (cone)

    (4/3) πr³ = (1/3) πr²h

    3 * (4/3) πr³ = 3 * (1/3) πr²h

    4r³ = r²h

    4r = h

    h=4r = 4*6 = 24 cm
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