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15 January, 16:44

Find the surface area of a sphere with volume 288 pi m^3. Give your answer in terms of Pi.

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  1. 15 January, 19:49
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    144 π cubic meters

    Step-by-step explanation:

    Formula for surface area of sphere is:

    S = 4*π * r^2

    We know the volume V = 288*π cubic meters.

    V = (4/3) * π*r^3

    288*π = (4/3) π*r^3

    Solve for r.

    (3/4) * 288 = r^3

    r = 6 meters

    S = 4 * π*6^2 = 4*36 * π = 144 π cubic meters

    From the Great MysticChaCha : -) ... : -)
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