Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 115: 71


$V=\frac{1}{2}r^{2}\theta h$

Work Step by Step

The base represents the sector of a circle. The area of a sector of a circle is $A=\frac{1}{2}r^{2}\theta$ where $r$ is the radius of the sector of the circle and $\theta$ is the central angle in radians. Since the base represents the sector of a circle, the area of the base is also equal to $A=\frac{1}{2}r^{2}\theta$. Multiplying this area by the height to find the volume $V$, $V=A\times h$ $V=\frac{1}{2}r^{2}\theta\times h$ $V=\frac{1}{2}r^{2}\theta h$
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