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23 October, 12:59

The formula for the volume of a sphere is v=4/3r3 what is the formula solved for r?

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  1. 23 October, 14:09
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    (3 V / 4 pi) ^ (1/3) = r

    Step-by-step explanation:

    The volume of a sphere is given by

    V = 4/3 pi r^3

    We want to solve for r

    Multiply each side by 3/4

    3/4 V = 4/3*3/4 pi r^3

    3/4 V = pi r^3

    Divide each side by pi

    3/4 V / pi = pi/pi r^3

    3 V / 4 pi = r^3

    Take the cube root of each side

    (3 V / 4 pi) ^ (1/3) = (r^3) ^1/3

    (3 V / 4 pi) ^ (1/3) = r
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