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3 August, 16:04

Find the surface area of a sphere that has a volume of 288 cu. in. 48 144 20,736

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  1. 3 August, 16:57
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    V = (4/3) pir^3

    SA=4pir^2

    so

    V=288 = (4/3) pir^3

    times both sides by 3/4

    216=pir^3

    divide both sides by pi

    216/pi=r^3

    cube root both sides

    6 / (∛pi) = r

    sub into other

    sa=4pir^2

    sa=4pi (6 / (∛pi)) ^2

    SA=4pi (36 / (∛ (pi²)))

    SA=144pi / (∛ (pi²))

    SA=144pi∛pi/pi

    SA=144∛pi

    SA≈210.901 in²

    not sure what option that's supposed to be
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