Find the radius of sphere with a volume of 1372π/3 cubic feet.

Question

Find the radius of sphere with a volume of 1372π/3 cubic feet.

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Isabella 1 month 2021-10-15T18:59:21+00:00 1 Answer 0 views 0

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    2021-10-15T19:01:19+00:00

    Answer:

    The radius of the sphere is 7m

    Step-by-step explanation:

    Given

    Volume of a sphere = 1372π/3 m³

    Required

    The radius.

    The volume of a sphere is calculated using the following formula.

    V = 4/3 πr³

    Where V = volume of the sphere and r represents it’s radius.

    By substitution;

    1372π/3 = 4/3 πr³

    Multiply both sides by 3

    1372π = 4πr³

    Divide through by 4

    343π = πr³

    Divide through by π

    343 = r³

    Take cube root of both sides.

    r = 7.

    Hence, the radius of the sphere is 7m

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