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    Question

    The curved surface area of a cylindrical pipe is 990 cm².

    If the height of the pipe is 15 cm, then find the diameter of the pipe.
    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 pipe be 'r' cm.

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

    ATQ,

    2 × (22/7) × 15 × r = 990

    So, r = (990 × 7) ÷ (2 × 22 × 15) = 10.5

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

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