Q$3.$ What is the full capacity flow rate $($according to Mannings equation$)$ for a circular channel. Show your derivation. $($i$.$e$.,Q=($:$F(S_0,n,D)\}.$

Q$4.$ For a $1\mathrm{.}5m$ pipe, $n=0\mathrm{.}015,$ and $S_0=0\mathrm{.}02,$ find the full capacity flow rate. What would the height of flow be when the flow rate in the channel is running at its quarter capacity $($:$=\frac{1}{4}{Q}_{\text{f}\text{u}\text{l}\text{l}}\}.$ Use the Manning equation and $R_h$ and A equations for the circular shape, and then use the monograms, you should get the same answer.