Suppose that r = f (h) defines the shape of a water clock for which the time marks are e...

Suppose that r = f (h) defines the shape of a water clock for which the time marks are equally spaced. Use the differential equation in Problem 12 to find f (h) and sketch a typical graph of h as a function of r. Assume that the cross-sectional area A_h of the hole is constant. [Hint: In this situation dh/dt = -a, where a > 0 is a constant.]

(reference equation in problem 12)