A fountain designed to spray a column of water 11.5 m into the air has a 1.34-cm-diameter nozzle at ground level. The water pump is 2.75 m below the ground. The pipe to the nozzle has a diameter of 2.68 cm. Find the pump pressure necessary if the fountain is to operate as designed. (Assume laminar nonviscous steady-state flow). I used .5mv^2=mgh to find the velocity of the water coming out of the nozzle. Then found the volume flow rate (Av) and then found the velocity for the water flowing through the pipe. Ive tried just solving for the pressure in the tube by using .5(density of water)v^2. that didnt work so i tried finding the volume of water in the pipe solving for its mass with (volume)(densityofwater) then finding the wieght of the water then solving for the pressure of that on the pump and adding it to what i found before with the velocitys. Can someone PLEASE tell me what im doing wrong?