College Algebra (10th Edition)

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

Chapter 3 - Section 3.6 - Mathematical Models: Building Functions - 3.6 Assess Your Understanding - Page 264: 20


$V=\pi (R^2-\frac{h^2}{4})h$

Work Step by Step

If $r$ is the radius and $h$ is the height of the cylinder, then the volume is: $V=\pi r^2h$. By Pythagorean Theorem $r=\sqrt{R^2-\frac{h^2}{4}}$, thus $V=\pi (R^2-\frac{h^2}{4})h$
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