$3.$ A $1\mathrm{.}2$m$-$diameter circular pipe with a slope of $0\mathrm{.}005$ is conveying water under open channel condition. Assume a Mannings n value $=0\mathrm{.}012.$ Determine:a$)$ Full pipe flowrate $($when depth$/$diameter ratio is about to reach $1)$b$)$ Flowratewhendepth$/$diameterratiois$0\mathrm{.}8$c$)$ Velocity when depth$/$diameter ratio is $0\mathrm{.}8$d$)$ Hydraulicradiuswhendepth$/$diameterratiois$0\mathrm{.}8$e$)$ At what depth the discharge is maximumI