Mathematics

Mathematics

Problem

A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm2\,\text{cm} and the diameter of the base is 4 cm4\,\text{cm}. Determine the volume of the toy. If a right circular cylinder then circumscribes the toy, find the difference between the volume of the cylinder and the toy.

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