Two sections, A and B$,$ are $7$ kilometers apart along a $0\mathrm{.}8m$ diameter rough concrete pipe. A is

$130$ meters higher than $B.$ The water temperature is $20$ degrees Celsius, and the pressure heads

measured at A and B are $15\mathrm{.}5$ meters and $93\mathrm{.}7$ meters, respectively. Assume that minor losses are

negligible. Assume the pipe is running full.

a$)$ Determine the flow rate through the pipe using the Darcy$-$Weisbach Equation.

b$)$ Determine the flow rate through the pipe using the Hazen$-$Williams Equation.

c$)$ Determine the flow rate through the pipe using the Manning's Equation. Use Manning's

roughness $($n$)$ for precast concrete in its worst condition.

d$)$ Compare the results.