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.

Solution: