5. (13 points) A fire protection association code requires a minimum pressure of 65psi at the outlet end of a 250-ft-long, 4-in.-diameter hose when the flow rate is 500gal/min. What

is the minimum pressure allowed at the pumper truck that supplies water to the hose? Assume an absolute roughness of ɛ = 0.03 in and that water is conveyed at 60°F.