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    Question

    The ratio of the curved surface area to the total

    surface area of a cylinder is 3:5. If the curved surface area is 1848 cm², find the height of the cylinder.
    A 21 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 32 cm Correct Answer Incorrect Answer
    D 44 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, CSA/TSA = h/(h+r) = 3/5 => 2h = 3r. 2pir*h = 1848. Sub r = 2h/3. Solving gives h = 21.

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