$($Heads$)$ A $3\mathrm{.}5-$in$.-$diameter pipe carries $250$ gal$/$min of water at a pressure of $30\mathrm{.}7$ psi. Determine a$)$ the pressure head in feet of water b$)$ the velocity head. $3896\mathrm{.}89$ c$)$ the total head with reference to a datum plane $23\mathrm{.}1$ ft below the pipe