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    Question

    The volume of a sphere is 288π cm³. What will be its

    surface area?
    A 188π cm² Correct Answer Incorrect Answer
    B 123π cm² Correct Answer Incorrect Answer
    C 155π cm² Correct Answer Incorrect Answer
    D 144π cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Volume of sphere = (4/3) × π × r³

    [Where ‘r’ is the radius]

    So, 288π = (4/3) × π × r³

    Or, r³ = 216

    Or, r = 6 cm

    Area of sphere = 4 × π × r² = 4 × π × 6 × 6 = 144π cm²

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