Water is pumped into a cylindrical tank, and then drained out. Suppose the volume of water in the tank in cubic meters after hours is given by the equation Using an online tool like Desmos, sketch a graph of on the interval .

a) Find and interpret the maximum value of on this interval.
Maximum value:
We can interpret this as:

b) Interpret both the vertical and horizontal intercepts of in the context of the problem.

The vertical intercept:

The horizontal intercept: