Assume frictionless flow in a long, horizontal, conical pipe. The diameter is 12 inches at one end and 6 inches at the other. The pressure head at the smaller end is 16 feet of water. If water flows through this cone, from the larger to the smaller end, at a rate of 150 gallons per minute (gpm), calculate the fluid velocities at the two ends and the pressure head at the larger end. Draw a picture of the problem and show your work.