Gasoline at 15.6C flows from a large tank through a variable diameter pipe and discharges into the atmosphere. The diameters of the pipe shown below are d1=2.75cm, d2=5cm, and d3=10cm. The distance between the gasoline free surface and the center of the pipe is 75cm. Atmospheric pressure is 98kPa and the absolute vapor pressure of Gasoline is 51.3kPa. Assume the flow is steady, incompressible, and inviscid. (a) Draw all streamlines required for analysis. (b) Determine the velocity of the gasoline at the exit. (c) Determine the velocity of the gasoline where the diameter of the pipe is the smallest. (d) Determine the static pressure of the gasoline where the diameter of the pipe is the smallest. (e) Does cavitation occur within the pipe? Why or why not? (f) If cavitation does or does not occur, how would you change the diameters of the pipe to either stop or cause cavitation in the pipe? (g) Sketch the Energy Line and Hydraulic Grade Line for a streamline from the free surface to the pipe exit