$3)($Adapted from Mott$)$ Part a$)$ Use Method III$-$A to compute the required size of a new, clean Schedule $40$ steel pipe that will carry $\backslash (0\mathrm{.}8\backslash$mathrm$\{$ft$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash )$ of water at $\backslash (50^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash )$ downhill and limit the total energy loss to $38\mathrm{.}8$ ft over a length of $\backslash (100\backslash$mathrm$\{$ft$\}\backslash ).$ Part b$)$ Based on your calculated diameter, specify the nominal pipe size and Part c$)$ Inner Diameter of your chosen Schedule $40$ Pipe $($reference Table F$\mathrm{.}1).($Note: you should have three answers for this problem!$)$