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    Question

    Two cones have their heights in the ratio 4 : 3 and the

    radii of their bases in the ratio 1 : 2. Find the ratio of their volumes.
    A 4 : 9 Correct Answer Incorrect Answer
    B 1 : 3 Correct Answer Incorrect Answer
    C 2 : 9 Correct Answer Incorrect Answer
    D 2 : 5 Correct Answer Incorrect Answer

    Solution

    Volume of cone ∝ r²h Given: Heights ratio = 4 : 3 Radii ratio = 1 : 2 So, Volumes ratio = (1² × 4) : (2² × 3) = 4 : 12 = 1 : 3

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