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5 August, 22:39

A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full

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  1. 5 August, 23:10
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    Below are the choices that can be found from other sources:

    A) 36 pi

    B) 6 pi

    C) 27 pi

    D) 216 pi

    E) 48 pi

    A sphere's volume is (4/3) * pi*r^3.

    The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches.

    (4/3) * pi*3^3 = 36 * pi

    But the balloon is only 3/4 full. So

    36 * (3/4) * pi = 27 * pi.

    The balloon has 27 pi cubic inches of water.
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