Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.9 Related Rates - Exercises - Page 159: 2


$14.4\,ft^{3}/min $

Work Step by Step

$\frac{dV}{dh}=\frac{d}{dh}(18\,ft^{2}\times h)=18\,ft^{2}$ $\frac{dh}{dt}=0.8\,ft/min $ $\frac{dV}{dt}=\frac{dV}{dh}\times \frac{dh}{dt}=18\,ft^{2}\times0.8\,ft/min $ $=14.4\,ft^{3}/min $
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