All major harbors are equipped with fire boats for extinguishing ship fires. A 75-mm-diameter hose is attached to the discharge of a \(11 \mathrm{~kW}\) pump on such a boat. The nozzle attached to the end of the hose has a diameter of \(25 \mathrm{~mm}\). If the nozzle discharge is held \(3 \mathrm{~m}\) above the surface of the water, determine the volume flow rate through the nozzle, the maximum height to which the water will rise, and the force on the boat if the water jet is directed horizontally over the stern.