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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IFIGURE P3.70 h (ft) 0 2 4 6 8 Area A 102468| 3 ft 1.1 1.5 1.8 2.4 2.8 T A [acres (1 acre = 43,560 ft²)] 0 0.3 0.5 0.8 0.9 IFIGURE P3.70 h (ft) 0 2 4 6 8 Area A 102468| 3 ft 1.1 1.5 1.8 2.4 2.8 T A [acres (1 acre = 43,560 ft²)] 0 0.3 0.5 0.8 0.9