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Question

A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of it, the volume of the solid.


Solution

Volume of the solid = Volume of cone + volume of hemisphere = 13πr2h + 23πr3

                               = 13π83 + 23π83
                               = π83 = 512π = 1607.68 cm3

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