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    Question

    The radii of two cylinders are in the ratio of 5:

    6 and their heights are in the ratio of 4: 3. The ratio of their volume is
    A 8:9 Correct Answer Incorrect Answer
    B 25:27 Correct Answer Incorrect Answer
    C 16:15 Correct Answer Incorrect Answer
    D 2:3 Correct Answer Incorrect Answer

    Solution

    The radius of the two cylinders is in the ratio of 4: 5 and the heights are in the ratio of 5: 2, r₁: r2 = 5:6 and h₁: h2 = 4:3 Volume of cylinder = πr²h   V1: V2 = πr₁2 h₁: πr22 h2 V1: V2 = 25 × 4: 36 × 3 V1: V2 = 100:108 V1: V2 =25:27

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