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: 38

Answer

Volume of the closed right circular cylinder is $576\pi \text{ in.}^3$. Surface area of the closed right circular cylinder is $272\pi \text{ in.}^2$.

Work Step by Step

The given values are Radius $r=8\text{ in.}$ Height $h=9\text{ in.}$ Volume of the closed right circular cylinder $V=\pi r^2h$. Substitute the given values. $V=\pi (8\text{ in.})^2(9\text{ in.})$ $V=576\pi \text{ in.}^3$ Hence, the volume of the closed right circular cylinder is $576\pi \text{ in.}^3$. Surface area of the closed right circular cylinder $S=2\pi r^2+2\pi rh$. Substitute the given values. $S=2\pi (8\text{ in.})^2+2\pi (8\text{ in.})(9\text{ in.})$ $S=128\pi \text{ in.}^2 +144\pi \text{ in.}^2$ $S=272\pi \text{ in.}^2$ Hence, the surface area of the closed right circular cylinder is $272\pi \text{ in.}^2$.
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