College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems - Page 277: 18


If we want to find the height of a cone whose volume is $100$ $in^{3}$, we can express the function as: $h(V)$ = $\frac{100 in^{3}}{\pi r^{2}}$

Work Step by Step

The volume of a cone is given as: V = $\frac{1}{3}$$\pi$$r^{2}$$h$ We know from the problem that the volume of this cone is $100$ $in^{3}$. We plug $100$ $in^{3}$ in for the volume to get: $100$ $in^{3}$ = $\pi$$r^{2}h$ If we want to find the height ($h$) of the cone, we divide each side by $\pi$$r^{2}$ to get: $h$ = $\frac{100 in^{3}}{\pi r^{2}}$
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