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7 November, 14:23

a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the cone and the sphere?

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  1. 7 November, 14:44
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    The radius = 24 units.

    Step-by-step explanation:

    I am assuming that the 2 radii are equal then:

    1/3 pi r^2 * 96 = 4/3 pi r^3

    then:

    4/3 pi r^3 / 32 pi r^2 = 1

    4/3r^3 / 32 r^2 = 1

    4/3 r * 1 / 32 = 1

    r = 32 * 3/4

    = 24.
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