Problem $3(20$ points$)$

A small community has experienced shortages in potable drinking water over the past several years. In response, the city engineer has proposed construction of a new pipeline that will transfer $30$ MGD $($million gallons per day$)$ from a reservoir $($constructed lake$)$ to the water treatment plant $3\mathrm{.}5$ miles away. The reservoir water surface is $25$ feet above the pipe entrance. The pipe slope is $1\mathrm{.}5\%$ and terminates to atmospheric pressure. Compute the minimum required diameter for a ductile iron pipe $($DIP$).$ Report your final answer to three decimal places in both inches and feet. The equivalent sand grain roughness for DIP is $0\mathrm{.}0004$ feet.