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