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Wednesday, February 11, 2015

Right Circular Cylinder Problems, 19

Category: Solid Geometry

"Published in Newark, California, USA"

How long a wire 0.1 in. in diameter can be drawn from a block of copper 2 in. by 4 in. by 6 in.?

Solution:

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

Photo by Math Principles in Everyday Life

The volume of a block of copper is


   

Therefore, the length of a wire that can be drawn from a block of copper assuming that a wire is a right circular cylinder is equal to




                       or