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13 November, 17:56

Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi.

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  1. 13 November, 19:22
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    18,432 pi cubic ft

    Step-by-step explanation:

    This problem can be solved using formula to find circumference and volume of sphere

    for any sphere with radius r

    circumference of sphere is 2 * pi * r

    volume of sphere is found by using formula 4/3 * (pi*r^2)

    Given circumference of sphere is 48 pi ft

    therefore

    2 * pi * r = 48 pi ft

    r = 48 pi ft / 2 * pi = 24 ft

    substituting the value of r is formula of volume of sphere we have

    volume of sphere is = 4/3 * (pi*24^3) = 18,432 pi cubic ft
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