Answer:
the rate of change is 3.8m/s
Step-by-step explanation:
The volume of the right circular cone is
The rate of change of volume is
In order to proceed further we have to define r in terms of h so tht we can compute the derivative above.
The ratio between h and r is
Therefore .
We plug that into the derivative above and get:
Thus
Now for the numerical part.
The rate of change of volume is , so when the water is 2 meters deep , therefore: