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Sunday, January 25, 2015

Right Circular Cylinder Problems, 6

Category: Solid Geometry

"Published in Newark, California, USA"

A certain factory manufactures tin cans. It received an order for 10,000 cylindrical tin cans of height 5 in. and diameter 3 in. How many square feet of tin did this order require if 7 sq. in. are allowed for waste and seams in each can?

Solution:

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

Photo by Math Principles in Everyday Life

The area of the base of a cylindrical tin can is


 
 
 

The surface area of a cylindrical tin can is
 
 
 

The area of the excess tin used for waste and seams of a tin can is
 
 
 

Therefore, the total amount of tin used to manufacture 10,000 tin cans is