Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.7 - Formulas - Exercises - Page 256: 24

Answer

$$h= \frac{3V}{\pi r^2} .$$

Work Step by Step

To solve the given equation for $h$, we multiply both sides by $3$ and then divide both sides by $\pi r^2$ as follows: $$ V=\frac{1}{3}\pi r^2 h\Longrightarrow 3V=\pi r^2 h\Longrightarrow \frac{3V}{\pi r^2}=\frac{pi r^2 h}{pi r^2 }\\ \Longrightarrow h= \frac{3V}{\pi r^2} .$$
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