QUESTION $2[18$ Marks$]$

The folowing information $($Table $1)$ is available for a proposed new dam site in Waterval Catchment.

Table $2$

When the reservoir level was at $530\mathrm{.}5$ m $,$ the following storm hydrograph $($Table $2)$ was measured at the entrance to the dam, whose drainage area is $\backslash (280\backslash$mathrm$\{$~km$\}^\{2\}\backslash ).$

Table $2$

$2\mathrm{.}1($a$)$ Determine the bathymetric constants $\backslash ($ a $\backslash )$ and $\backslash ($ b $\backslash ).$

$($b$)$ how much water stored between $434$ m and $440$ m contours

$2\mathrm{.}2.$ For the hydrograph given above, determine: $($Hint: Use constant base flow$)$

a$)$ Volume of direct runoff $\backslash (\backslash$left$(\backslash$mathrm$\{$m$\}^\{3\}/\backslash$mathrm$\{$s$\}\backslash$right$)\backslash )$

b$)$ Effective rainfall depth $($cm$)$

c$)$ Unit hydrograph for a duration of $12$ hrs