Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises - Page 268: 90

Answer

(a) $\frac{dV}{dh} = \frac{1}{3}\pi~r^2$ (b) $\frac{dV}{dr} = \frac{2}{3}\pi~r~h$

Work Step by Step

(a) $V = \frac{1}{3}\pi~r^2~h$ $\frac{dV}{dh} = \frac{1}{3}\pi~r^2$ (b) $V = \frac{1}{3}\pi~r^2~h$ $\frac{dV}{dr} = \frac{2}{3}\pi~r~h$
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