Two points A and B are connected by a $41\mathrm{.}0[cm]$ diameter ductile iron pipe of $3\mathrm{.}864[km]$ length. Point $B$ is $107\mathrm{.}0$ meters lower than point $A,$ and the pressure heads measured at A and $B$ are $11\mathrm{.}0[m]$ and $102\mathrm{.}0[m],$ respectively. Assume that minor losses are negligible and determine the flow rate in $[$cms$]$ based on the Chezy$-$Manning equation.

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