Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3: 50

Answer

The height of the cone is 12 inches.

Work Step by Step

The formula for the volume of a right circular cone is: V = $\frac{1}{3}$ $\times$ $\pi$ $\times$ $r^{2}$ $\times$ h Substitute 324$\pi$ for V and 9 for r to obtain: 324$\pi$ = $\frac{1}{3}$ $\times$ $\pi$ $\times$ $9^{2}$ $\times$ h 324$\pi$ = $\frac{1}{3}$ $\times$ $\pi$ $\times$ 81 $\times$ h Multiply both sides by 3 972$\pi$ = $\pi$ $\times$ 81 $\times$ h Divide both sides by 81$\pi$ h = 12
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