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    Question

    Given that the surface area of a sphere is 201.06 cm²,

    calculate its volume.
    A 162.19 cm³ Correct Answer Incorrect Answer
    B 268.19 cm³ Correct Answer Incorrect Answer
    C 285.48 cm³ Correct Answer Incorrect Answer
    D 321.11 cm³ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Surface area of sphere = 4 × π × radius²

    So, 4 × (22/7) × radius² = 201.06

    Or, radius² = 16.03

    Or, radius = ± 4.0

    But radius cannot be negative. So, radius = 4.0 cm

    Volume of sphere = (4/3) × π × radius³

    = (4/3) × (22/7) × 4.0³

    = 268.19 cm³

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