The surface area, A, of the pond shown in Fig. P3.70 varies with the water depth, h, as...

The surface area, A, of the pond shown in Fig. P3.70 varies with the water depth, h, as shown in the table. At time t = 0 a valve is opened and the pond is allowed to drain through a pipe of diameter D. If viscous effects are negligible and quasi-steady conditions are assumed, plot the water depth as a function of time from when the valve is opened (t =0) until the pond is drained for pipe diameters of D = 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0 ft. Assume h = 18 ft at t =0.