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      Question

      The height of a cylinder and that of a cone are in the

      ratio 6:7 and the radii of their bases in the ratio 2:3. The ratio of their volumes will be?
      A 5:12 Correct Answer Incorrect Answer
      B 4:7 Correct Answer Incorrect Answer
      C 8:7 Correct Answer Incorrect Answer
      D 3:8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      H1:H2 = 6:7 & R1:R2 = 2:3 So ratio of their volume = π x R1 2 x H1/(1/3 x π x R12 x H2) = 3 (R1/R2) 2 x (H1/H2) = 3(2/3) 2 x (6/7) = 8:7

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