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 Hemisphere =ÂSolution
 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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