Determine the height, h, the water level will rise in the tank before remaining constant. Also, if initially the tank is empty, what amount of time will it take for the water level to rise to h? Be sure to justify all assumptions made.
Hint: Use Bernoulli's Eq. to find the outlet velocity as a function of h.
gamma water=62.4lbf/ft^3
Qin=1.2cfs
Dt=4ft
Do=3in