Consider the simple pipe network shown above. The head $H_5$ at the reservoir is $350\mathrm{.}0[m].$ The lengths of the pipes are $x_1=250[m],x_2=400[m],x_3=300[m],$

$x_4=600[m],x_5=350[m],x_6=450[m].$ The diameters of the pipes are $D_1=0\mathrm{.}3[m],D_2=0\mathrm{.}2[m],D_3=0\mathrm{.}3[m],D_4=0\mathrm{.}15[m],D_5=0\mathrm{.}3[m],$

$D_6=0\mathrm{.}2[m].$ The measured pressure heads at each junction are $\frac{p_1}{}=269\mathrm{.}399[m],\frac{p_2}{}=150\mathrm{.}437[m],\frac{p_3}{}=241\mathrm{.}446[m],\frac{p_4}{}=149\mathrm{.}950[m].$ 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$].$ Compute the demands at each junction and

the flows in each link. What is the demand outflow from junction $3$ in $[$cms$]?$

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