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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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