Answer:
For this case we know that represent the radius,
the height and the rate given is:
And replacing we got:
And that represent
Step-by-step explanation:
For a tank similar to a cylinder the volume is given by:
For this case we know that represent the radius,
the height and the rate given is:
For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:
And solving for we got:
We need to convert the rate given into m^3/min and we got:
And replacing we got:
And that represent