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10 June, 18:47

A softball has a volume of 125/6π cubic inches. Find the radius of the softball.

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  1. 10 June, 18:53
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    The radius of the softball is 2.5 inches

    Step-by-step explanation:

    The volume of a sphere is given by

    V = 4/3 pi r^3

    We know the volume is 125/6 pi

    Substituting in

    125/6 pi = 4/3 pi r^3

    Divide by pi on each side

    125/6 pi / pi = 4/3 pi / pi r^3

    125/6 = 4/3 r^3

    Multiply by 3/4 on each side to isolate r

    125/6 * 3/4 = 3/4 * 4/3 r^3

    125/8 = r^3

    Take the cube root on each side

    (125/8) ^ 1/3 = (r^3) ^ 1/3

    5/2 = r

    2.5 = r

    The radius of the softball is 2.5 inches
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