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6 August, 01:52

A small beach ball has a radius of 8 inches. A larger beach ball has a volume that is twice the volume of the small ball. What is the best approximation for the radius of the large beach ball?

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  1. 6 August, 01:56
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    V = (4/3) pir^3

    find smaller

    V = (4/3) pi8^3

    V = (4/3) pi512

    V = (2048/3) pi

    twice of that

    Vbig=2 * (2048/3) pi

    Vbig = (4096/3) pi

    find radius

    (4096/3) pi = (4/3) pir^3

    divide both sides by pi

    (4096/3) = (4/3) r^3

    times both sides by 3

    4096=4r^3

    divide both sides by 4

    1024=r^3

    cube root both sides

    8∛2=r

    aprox

    10.0794

    the answer you are looking for is 8∛2 or 10.0794in or something close to that
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