Problem 5: draining tankThe cylindrical tank below had 2m of oil in it originally. At some point a hole developed in thetop of the tank and water entered into the tank. Your job is to remove the water from the tank.Assume that the exit nozzle is frictionless and 5 cm in diameter. The density of water is 1 g/mland that of oil is 0.82 g/ml.

a) Determine the gauge pressure (Pa) at the interface between water and oil.b) Use Bernoulli's equation to develop a relationship between the outlet velocity and the height of the water in the tank, density of oil, and density of water. Assume the height of the oil remains constant as the water drains and does not mix with the water. Note that the control volume for Bernoulli's should only contain a single fluid.Use Bernoulli's equation to determine the velocity of water leaving the nozzle at the current indicated levels.c)d) Use a mass balance to find an equation for the rate of change in water height (dh/dt)as the water drains out of the tank. Note that during this time the oil level stays the same and only the water level is changing. You may leave this in the form dh/dt (do not need to integrate). Indicate clearly which terms are constant.