Through a pipe $15\mathrm{.}0$ cm in diameter, water is pumped from a water tank to a reservoir. The tank is at an elevation of $564$ m$,$ and the reservoir is at an elevation of $2\mathrm{.}096$ m$.($a$)$ What is the minimum pressure at which the water must be pumped if it is to arrive at the reservoir? $($b$)$ If $4\mathrm{.}500$ m$3$ are pumped per day, what is the speed of the water in the pipe? $($c$)$ What additional pressure is necessary to deliver this flow?