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.
