1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12 cm? 12 cm 12 cm 2. An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, what is the surface area of the observatory? If 1 gal of paint covers 300 ft2, how many gallons are needed to paint the surface if it requires two coats? 30 ft 14 t- 3. A leather soccer ball has an inside diameter of 8.5 in and a thickness of 0.1 in. Find the volume of leather needed for its construction.

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