Question

    A maximum-size sphere is cut from a hemisphere of radius

    r. Find the ratio of the volume of the sphere to the hemisphere. Radius of Hemispher
    A 4:1 Correct Answer Incorrect Answer
    B 2:3 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 1:4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ∴ Radius of sphere = r/2 Volume of sphere = 4/3 π r³/8 Equate both the volumes: Hemisphere       Sphere 2/3 πr³           4/3 π r³/8 1:                1/4 4:                 1 the ratio of the volume of the sphere to the hemisphere = 1: 4

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