A pump takes in water at 65 F and 1 atm and pumps it through a 6 diameter nozzle to produce a jet 30 ft high into the air for a decorative fountain. Assume the water to be incompressible.

1. If the pressure at the nozzle exit is 1 atm, what must be the exit velocity (ft/s) of the water to produce a jet 30 ft high?
2. What is the flow rate (gallons/min) of the water?
3. How much power (hp) does it take to run the pump? Assume the pump inlet and the nozzle exit are at the same level and that the inlet velocity to the pump is negligibly small.