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5 November, 08:46

To completely cover a spherical ball, a ball company uses a total area of 36 square inches of material. what is the maximum volume the ball can have?

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  1. 5 November, 08:53
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    Area of a sphere is 4pr^2 and the volume of a sphere is (4pr^3) / 3.

    You are told that A=36 so

    4pr^2=36

    pr^2=9

    r = (9/p) ^ (1/2)

    Using this r in the volume equation we see that ...

    V = (4p/3) (9/p) ^ (3/2)

    V~20.31in^3
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