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: 3

Answer

Find $\dfrac{dh}{dt}$, if $\dfrac{dV}{dt}=2\, cm^3/min$. Where V and h are the volume and water level respectively.

Work Step by Step

Since the water pours in at a rate of $2\, cm^3/min$. We get, $\dfrac{dV}{dt}=2\, cm^3/min$ Since, the problem asked to find how fast is the water level rising. The problem asked for $\dfrac{dh}{dt}$. Thus the problem can be restated as follows: Find $\dfrac{dh}{dt}$, if $\dfrac{dV}{dt}=2\, cm^3/min$. Where V and h are the volume and water level respectively.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.