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Thursday, February 12, 2015

Right Circular Cylinder Problems, 20

Category: Solid Geometry

"Published in Newark, California, USA"

A piece of lead pipe is 50 ft. long. Its outer radius is 2 in., and it is ¼ in. thick. Into how many spherical bullets ¼ in. in diameter can be melted?

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

If the thickness of a lead pipe is ¼ in., then the inner radius is




Hence, the volume of a lead pipe is






If a lead pipe is melted and then converted into spherical bullets of diameter ¼ in., the volume of a piece of spherical bullet is


 
 
 

Therefore, the number of spherical bullets in a lead pipe is