Question

1. A factory’s pressure tank rests on the upper base of a vertical pipe whose inside diameter is 1 1/2 ft and whose length is 40 ft. The tank is a vertical cylinder surmounted by a cone, and it has a hemispherical base. If the altitudes of the cylinder and the cone are respectively 6 ft and 3 ft and all three parts of the tank have an inside diameter of 6 ft, find the volume of water in the tank and pipe when full.

2. A right circular cylinder whose diameter is 4 cm is cut from a right circular cone of height is 14 cm and radius 7 cm. What is the volume of the right circular cylinder?