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 - Preliminary Questions - Page 159: 4

Answer

The problem can be restated as follows: Find $\dfrac{dV}{dt}$, if $\dfrac{dh}{dt}=1\, cm/min$. Where V and h are the volume and water level respectively.

Work Step by Step

Since the water level rises at a rate of $1\, cm/min$. We get, $\dfrac{dh}{dt}=1\, cm/min$ Since, the problem asked to find the rate at which the water is pouring in. The problem asked for $\dfrac{dV}{dt}$. Thus the problem can be restated as follows: Find $\dfrac{dV}{dt}$, if $\dfrac{dh}{dt}=1\, cm/min$. Where V and h are the volume and water level respectively.
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