Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 37

Answer

Volume is $648\pi \text{ in.}^3$. Surface area is $306\pi \text{ in.}^2$.

Work Step by Step

The given values are Radius $r=9\text{ in.}$ Height $h=8\text{ in.}$ Volume of the closed right circular cylinder $V=\pi r^2h$. Substitute the given values. $V=\pi (9\text{ in.})^2(8\text{ in.})$ $V=648\pi \text{ in.}^3$ Hence, the volume of the closed right circular cylinder is $648\pi \text{ in.}^3$. Surface area of the closed right circular cylinder $S=2\pi r^2+2\pi rh$. Substitute the given values. $S=2\pi (9\text{ in.})^2+2\pi (9\text{ in.})(8\text{ in.})$ $S=162\pi \text{ in.}^2 +144\pi \text{in.}^2$ $S=306\pi \text{ in.}^2$ Hence, the surface area of the closed right circular cylinder is $306\pi \text{ in.}^2$.
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