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.
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