$($Situation $2)$ Water flows in a $1\mathrm{.}5-$meter$-$diameter concrete culvert at a depth of $1\mathrm{.}24$ meters. The Manning's roughness coefficient for a

concrete culvert is $0\mathrm{.}013$ and the slope of the culvert along the direction of the flow is $0\mathrm{.}005\frac{m}{m}.$ Assume steady uniform open$-$channel

flow.

a$)$ What is the magnitude of the hydraulic radius of the flow?

b$)$ What is the value of the Froude number of the flow? Classify the said flow as either subcritical, critical or supercritical.

c$)$ What is the magnitude of the discharge of the flow?