Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 434: 127b


$\text{approximately } 211.6 \text{ square centimeters} $

Work Step by Step

Substituting $h=3$ and $r=4$ in the given equation, $ A=\pi r\sqrt{r^2+h^2} ,$ results to \begin{array}{l}\require{cancel} A=\pi (6.8)\sqrt{6.8^2+7.2^2} \\ A=6.8\pi\sqrt{46.24+51.84} \\ A=6.8\pi\sqrt{98.08} \\ A\approx211.6 .\end{array} Hence, the lateral surface area, $A,$ is $ \text{approximately } 211.6 \text{ square centimeters} .$
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