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 = πr²h Volume of the hemisphere = 2/3 × πr³ (since the height of the cylinder is 2r, which is the diameter of the hemisphere) Ratio of the volumes = (πr²(2r)) / (2/3 × πr³) = 3/1 = 3:1.

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