(a) Suppose that a glass tank has the shape of a cone with circular cross section as...

(a) Suppose that a glass tank has the shape of a cone with circular cross section as shown in Figure 3.2.10. As in part (a) of Problem 31, assume that h(0) = 2 ft corresponds to water filled to the top of the tank, a hole in the bottom is circular with radius in., g = 32 ft/s², and c = 0.6. Use the differential equation in Problem 12 to find the height h(t) of the water.

(b) Can this water clock measure 12 time intervals of length equal to 1 hour? Explain using sound mathematics.