"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
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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