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    Question

    Two cylindrical buckets 'A' and 'B' are such that the

    radius of bucket 'A' is thrice that of bucket 'B' whereas the height of bucket 'A' is twice that of bucket 'B'. Find the ratio of the volume of bucket 'B' to that of bucket 'A'.
    A 1:12 Correct Answer Incorrect Answer
    B 12:1 Correct Answer Incorrect Answer
    C 1:18 Correct Answer Incorrect Answer
    D 18:1 Correct Answer Incorrect Answer

    Solution

    Let the radius and height of bucket 'B' be 'r' unit and 'h' unit respectively.

    So, radius of bucket 'A' = '3r' units

    And, height of bucket 'A' = '2h' units

    Volume of cylinder = π X r 2  X h, where 'r' and 'h' are radius and height, respectively.

    Required ratio = (π X r 2  X h) : {π X (3r)  2  X 2h} = (r 2  X h) :(9r 2  X 2h) = 1:18

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