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a uniform solid consists of a hemisphere of radius r and a right circular cone of base radius r fixed together so that their plane faces coincide.

a uniform solid consists of a hemisphere of radius r and a right circular cone of base radius r fixed together so that their plane faces coincide. If the solid can rest in equilibrium with any point of the curved surface of a hemisphere in contact with the horizontal plane, find the height of the cone in terms of r.

This question was asked on Mar 19, 2010.

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