I need your help to solve this problem. Pls help me by answering and showing step by step explanation.Homework $4$: Problem $3$

Consider the following pipe network:

Consider the simple pipe network shown above. The head $H_5$ at the reservoir is $100\mathrm{.}0[$m$].$ The demand at junction $4$ is $0\mathrm{.}273[$cms$].$ The lengths of the pipes are

$x_1=310\mathrm{.}0[m],x_2=323\mathrm{.}0[m],x_3=340\mathrm{.}0[m],x_4=574\mathrm{.}0[m],x_5=381\mathrm{.}0[m],x_6=394\mathrm{.}0[m].$ The diameters of the pipes are $D_1=0\mathrm{.}272[m],$

$D_2=0\mathrm{.}247[m],D_3=0\mathrm{.}313[m],D_4=0\mathrm{.}162[m],D_5=0\mathrm{.}305[m],D_6=0\mathrm{.}173[m].$ Assume that the Hazen$-$Williams coefficient for all pipes is $C_{HW}=100$ and

neglect minor losses. The bottom elevations of all junctions are $0[m].$ What is the magnitude of the flow rate in pipe $1in[$cms$]?$