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    Question

    The curved surface area of a big cylinder is 3696 cm²

    and its radius is 21 cm. Another cylinder has the same radius as the big cylinder but its height is half of the big cylinder’s height. The volume of the smaller cylinder is how much percentage of the volume of the big cylinder?
    A 12.5% Correct Answer Incorrect Answer
    B 78% Correct Answer Incorrect Answer
    C 50% Correct Answer Incorrect Answer
    D 25.5% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Curved surface area = 2 * π * r * h 2 * 22/7 * 21 * h = 3696 (44/7) * 21 * h = 3696 132h = 3696 h = 3696 / 132 h = 28 cm Volume of big cylinder = 22/7 * 21 * 21 * 28 = 22/7 * 441 * 28 = 22/7 * 12348 = 38712 cm³ Height of small cylinder = 28/2 = 14 cm Radius of small cylinder = 21 cm Volume of small cylinder = 22/7 * 21 * 21 * 14 = 22/7 * 441 * 14 = 22/7 * 6174 = 19404 cm³ Required percentage = 19404 / 38712 * 100 = 1/2 * 100 = 50 %

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