Water is flowing into a vertical cylindrical tank of diameter 8 m at the rate of 5 m3/min.
find the rate at which the depth of the water is rising. (round your answer to three decimal places.)
m/min

Thus, the depth of water is rising at a rate of .

Step-by-step explanation:

We are given the following in the question:

Diameter of cylindrical tank = 8 m

Radius of tank = 4 m

Water is flowing into a vertical cylindrical tank at the rate of 5 cubic meter per minute.

We have to find the rate at which the depth of the water is rising.

Volume of cylindrical tank =

Putting the values, we get:

Differentiating with respect to time, we get:

Putting the values, we get:

Thus, the depth of water is rising at a rate of .