a fire-man's pump steadily draws water from a river through a pipe with an inlet of diameter 12cm. a fireman positioned 3m above the pump inlet, holds a nozzle with an exit diameter of 3.5cm that is connected to the pump outlet by a flexible hose. if the heat transfer to the surroundings from the pump is 10% of its output, calculate the power required by the pump to deliver a flow rate of 0.015m3/s. assume that the density of water is 998kg/m3 and the gravitational acceleration is 10m/s 2.5kw]