Question

    A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?

    A 4 : 1 Correct Answer Incorrect Answer
    B 1 : 2 Correct Answer Incorrect Answer
    C 3 : 1 Correct Answer Incorrect Answer
    D 2 : 1 Correct Answer Incorrect Answer

    Solution

    Radius of Hemisphere = r ∴ 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

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