The fluid used to treat detergent is stored in a cylindrical tank. The fluid is fed into an initially half full water tank from the top and it leaves the tank from the bottom. The inlet and outlet...

The fluid used to treat detergent is stored in a cylindrical tank. The fluid is fed

into an initially half full water tank from the top and it leaves the tank from the

bottom. The inlet and outlet volumetric flow rates are different from each other.

The differential equation describing the time rate of change of water height is

given by ?ℎ/?? =10−6√ℎ

where h is the height of water in meters.

Calculate the height of water in the tank under steady conditions