Elementary Technical Mathematics

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

Chapter 6 - Section 6.8 - Substituting Data into Formulas - Exercises - Page 258: 3

Answer

$20$

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 $$ V=\frac{\pi r^2h}{3}\Longrightarrow 3V= \pi r^2h \Longrightarrow h=\frac{3V}{\pi r^2} .$$ Now, by substitution, we have $$ h=\frac{3V}{\pi r^2}=\frac{3\times753.6}{\pi 6^2}=19.99\approx 20 .$$
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