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    Question

    If the curved surface area of a cylindrical drum is 660

    cm² and its height is 10 cm, then find the diameter of the drum.
    A 21 cm Correct Answer Incorrect Answer
    B 41 cm Correct Answer Incorrect Answer
    C 27 cm Correct Answer Incorrect Answer
    D 33 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

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

    Curved surface area of the cylinder = 2 × π × radius × height

    ATQ,

    2 × (22/7) × 10 × r = 660

    So, r = (660 × 7) ÷ (2 × 22 × 10) = 10.5

    Therefore, diameter of the drum = 2 × r = 2 × 10.5 = 21 cm

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