Applied Hydraulics #$3\mathrm{.}5\mathrm{.}8.$

A smooth concrete pipe $(1\mathrm{.}5-$ft diameter$)$ carries water from a reservoir to an industrial treatment plant $1$ mile away and discharges it into the air over a holding tank. The pipe leaving the reservoir is $3ft$ below the water surface and runs downhill on a $1$:$100$ slope. Determine the flow rate $($in cfs$,\frac{f{t}^3}{s})$ if the water temperature is $40F(4C)$ and minor losses are negligible.