Example:

The objective of this question is to establish the depth$-$volume curve to determine the suitable height of the dam spillway.

The reservoir volume is considered as a succession of superposed surfaces with regular interval of $5m.$ The area of each surface is given by the table $1.$ The surface S$0$ is the bottom of the reservoir.

Plot the depth$-$volume curve for the reservoir and present the calculus details and the table with the data needed to plot the curve.

Determine the height of the dam spillway if the projected reservoir capacity is $150{10}^{6}m3$

$\backslash$table$[[$Surface$,$Area $(km2)$