A spherical tank of diameter \(D\) has a drain hole of diameter \(d\) at its bottom. A vent at the top of the tank maintains atmospheric pressure at the liquid surface within the tank. The flow is quasisteady and inviscid and the tank is full of water initially. Determine the water depth as a function of time, \(h=h(t)\), and plot graphs of \(h(t)\) for tank diameters of \(1,5,10\), and \(20 \mathrm{ft}\) if \(d=1 \mathrm{in}\).