Suppose that the conical tank in Problem 13(a) is inverted, as shown in the following figure, and that water leaks out a circular hole of radius 2 inches in the center of its circular base. Is the time it takes to empty a full tank the same as for the tank with vertex down in Problem 13? Take the friction/contraction coef­ficient to be c = 0.6 and g = 32 ft/s².

Data form problem 13

Suppose the tank is 20 feet high and has radius 8feet and the circular hole has radius 2 inches.In Problem 14 in Exercises 1.3 you were asked to show that the differential equation governing the height h of water leaking from a tank is

dh/dt = - 5/6h^3/2.

In this model, friction and contraction of the water at the hole were taken into account with c = 0.6, and g was taken to be 32 ft/s². See the following. If the tank is initially full, how long will it take the tank to empty?