Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the water level when the water is 6 m deep. (1 L = 1000cm^3)

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

40 is the final : )