Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.8 - Cylinders - Exercise - Page 428: 17

Answer

$101,000 \;cm^2 $.

Work Step by Step

Given values are:- Radius of the can $r=2.18\; cm$. Length of the can $h=7.38\;cm$. Labels will be used on the lateral surface area. Formula for the lateral surface area is $A=2\pi r h$ Plug all values. $A=2\pi (2.18\;cm) (7.38\;cm)$ Simplify. $A=101 \; {cm}^2$ (rounded value.) Hence, the amount (area) of paper used for labels for one can is $=101cm^2$. For $1000$ cans $=101\;cm^2 \times 1000 $ $=101,000 \;cm^2 $.
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