Question no : 1
Water is being poured into a trapezoidal tank (shown below) at a rate pf 2.4 cubic meters per minute.
[a] Find an expression for the volume of water in the tank in terms of its depth.
[b] Find the rate at which the water level is rising when the depth is 0.5 meters.
[c] Find the rate at which the exposed surface are of the water is increasing after 1 minute.