Water flows into the sink shown in Fig. P3.91 and Video V5.1 at a rate of \(2 \mathrm{gal} / \mathrm{min}\). If the drain is closed, the water will eventually flow through the overflow drain holes rather than over the edge of the sink. How many 0.4-in.-diameter drain holes are needed to ensure that the water does not overflow the sink? Neglect viscous effects.

Figure P3.91

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Q = 2 gal/min 1 in. Stopper 0.4-in.-diameter holes