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    Question

    The radii of two right circular cylinders are in the

    ratio 3 : 2 and the ratio of their volumes is 27:16. What is the ratio of their heights?
    A 8 : 9 Correct Answer Incorrect Answer
    B 3:4 Correct Answer Incorrect Answer
    C 4:3 Correct Answer Incorrect Answer
    D 9:8 Correct Answer Incorrect Answer

    Solution

    Volume of right circular cylinder = πr2 h let the height of both cylinder be h1 and h2 ⇒ π32 h1 /π22 h2 = 27 : 16 ⇒ 9h1 /4h2 = 27 : 16 ⇒ 4h1 = 3h2 ⇒ h1 : h2 = 3 : 4

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