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      Question

      A circular cylinder and a hemisphere have the same

      radius (r) and the height of the cylinder is equal to the diameter of the hemisphere. Find the ratio of their volumes.
      A 1:2 Correct Answer Incorrect Answer
      B 1:3 Correct Answer Incorrect Answer
      C 3:1 Correct Answer Incorrect Answer
      D 1:4 Correct Answer Incorrect Answer

      Solution

      Volume of the cylinder = ╧Аr┬▓h Volume of the hemisphere = 2/3 ├Ч ╧Аr┬│ (since the height of the cylinder is 2r, which is the diameter of the hemisphere) Ratio of the volumes = (╧Аr┬▓(2r)) / (2/3 ├Ч ╧Аr┬│) = 3/1 = 3:1.

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