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    Question

    A metal cylinder has a curved surface area of 528 cm² and

    its height is 12 cm. What is the diameter of the cylinder?
    A 14 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 cylinder be 'r' cm.

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

    ATQ,

    2 × (22/7) × 12 × r = 528

    So, r = (528 × 7) ÷ (2 × 22 × 12) = 7

    Therefore, diameter of the cylinder = 2 × r = 2 × 7 = 14 cm

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