In a channel with a U$-$shaped cross$-$section featuring a semi$-$circular bottom and vertical sides, and spanning $1\mathrm{.}20$ meters in width, the channel slopes at a rate of $1$ in $2500.$ It is designed to handle a discharge rate of $0\mathrm{.}70$ cubic meters per second. To verify its efficiency, the channel is analyzed using Chezy's Formula, with the coefficient $C$ set at $53.(10$ points$)$

A$.$ Compute the depth of the stream.

B$.$ Compute the hydraulic depth.

C$.$ Compute the velocity of flow.