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    5. The surface area of a sphere is 154 cm². Find its volume.

    Question

    The surface area of a sphere is 154 cm². Find its

    volume.
    A 157.5 cm³ Correct Answer Incorrect Answer
    B 179.66 cm³ Correct Answer Incorrect Answer
    C 261.33 cm³ Correct Answer Incorrect Answer
    D 215 cm³ Correct Answer Incorrect Answer

    Solution

    Surface area A = 4πr² = 154. Solving for r: r² = 154/(4π) => r = √(154/(4π)). r = 7/2 cm Now, the volume V = (4/3)πr³. = 4/3 * 22/7 * 7/2 * 7/2 * 7/2 = 179.66 V ≈ 179.66 cm³. Correct answer : b) 179.66 cm³

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