$14\mathrm{.}20$ A square storage room is equipped with automatic sprinklers for fire protection that spray $1000ga\frac{l}{m}in$ of water. The floor is designed to drain this flow evenly to troughs near each outside wall. The troughs are shaped as shown in Fig. P$14\mathrm{.}20.$ Each trough carries $250ga\frac{l}{m}in,$ is laid on a $1-$percent slope, and is formed of unfinished concrete. Determine the minimum depth $h.$

FIGURE P$14\mathrm{.}20$ Water troughs for Problems $14\mathrm{.}20$ and $14\mathrm{.}21.$

$14\mathrm{.}21$ The flow from two of the troughs described in Problem $14\mathrm{.}20$ passes into a sump, from which a round common clay drainage tile carries it to a storm sewer. Determine the size of tile required to carry the flow $(500ga\frac{l}{m}in)$ when running half full. The slope is $0\mathrm{.}1$ percent.

PLEASE SOLVE QUESTION $14\mathrm{.}21$