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    Question

    A sphere has a volume of 11304 cm³. What is its total

    surface area? (Use π = 22/7)
    A 1232 cm² Correct Answer Incorrect Answer
    B 1025 cm² Correct Answer Incorrect Answer
    C 1450 cm² Correct Answer Incorrect Answer
    D 2328 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    Volume = (4/3) × π × r³

    So, 11304 = (4/3) × (22/7) × r³

    ⇒ r³ = (28×28×28)/8

    ⇒ r = 28/2 = 14 cm

    Now, surface area = 4 × π × r²

    = 4 × (22/7) × 14²

    = 4 × (22/7) × 196

    = 1232 cm²

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