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 HemispherSolution
∴ 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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