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Saturday, January 24, 2015

Right Circular Cylinder Problems, 5

Category: Solid Geometry

"Published in Vacaville, California, USA"

If a lead pipe ¼ in. thick has an inner diameter of 1½ in., find the number of cubic inches of lead in a piece of pipe 10 ft. long.

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

The first thing that we need to do is to get the area of the cross section which is the section between the two concentric circles as follows










Therefore, the amount of lead in a piece of lead pipe which is the volume of a circular cylinder is