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A cubical block is surmounted by a hemisphere of radius 3·5 cm. What is the smallest possible length of the edge of the cube so that the hemisphere can totally lie on the cube ? Find the total surface area of the solid so formed.
A solid toy is in the form of a hemisphere surmounted by a right circular cone of same radius. The height of the cone is 2 cm and the diameter of the base is 4 cm. Find the volume of the toy.
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