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    Question

    What is the surface area of a sphere if its volume is 4,851

    cm³?
    A 1,386 sq cm Correct Answer Incorrect Answer
    B 2,156 sq cm Correct Answer Incorrect Answer
    C 1,167 sq cm Correct Answer Incorrect Answer
    D 1,078 sq cm Correct Answer Incorrect Answer

    Solution

    Let, the radius of the sphere be 'r' cm.

    ATQ,

    (4/3) X (22/7) X r 3  = 4851

    Or, r 3  = 4851 X (3/4) X (7/22)

    Or, r 3  = 441 X 21 X (1/8)

    So, r = (21/2) = 10.5 cm

    So, the surface area of the sphere = 4 X (22/7) X (21/2) X (21/2) = 1,386 cm 2

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