A manometer on the discharge pipe of a pump handling 8.4m^3/min of water shows a pressure of 3.7*10^5 Pa. The vacuum gage on the suction pipe shows a vacuum of 21 cm Hg. The vertical distance between the places of connection of the manometer and the vacuum gage is .41 m. The diameter of the suction pipe is .35 m and of the delivery pipe is .3 m. Find the head developed by the pump.