College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.3 - Geometry Essentials - R.3 Assess Your Understanding - Page 36: 38

Answer

$V=576\pi \approx 1809.56\text{ cubic inches}$ $\text{surface area} = 272\pi \approx 854.51 \text{ square inches}$

Work Step by Step

RECALL: (1) The surface area of a right circular cylinder with radius $r$ and height $h$ is given by the formula: $\text{surface area} = 2\pi{r^2}+2\pi{rh}$ (2) The volume $V$ of a right circular cylinder with radius $r$ and height $h$ is given by the formula: $V = \pi{r^2}h$ The right circular cylinder has radius = 8 inches height = 9 inches Use the formulas and given measurements above to obtain: $V=\pi{r^2h} \\V=\pi(8^2)(9) \\V=\pi(64)(9) \\V=576\pi \approx 1809.56\text{ cubic inches}$ $\text{surface area} = 2\pi{r^2}+2\pi{rh} \\\text{surface area} = 2\pi(8^2)+2\pi(8)(9) \\\text{surface area} = 2\pi(64) +144\pi \\\text{surface area} = 128\pi +144\pi \\\text{surface area} = 272\pi \approx 854.51 \text{ square inches}$
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