A tank containing \(30 \mathrm{~m}^{3}\) of kerosene is to be emptied by a gravity feed using a drain hose of diameter \(15 \mathrm{~mm}\), roughness \(0.2 \mathrm{~mm}\), and length \(1 \mathrm{~m}\). The top of the tank is open to the atmosphere and the hose exits to an open chamber. If the kerosene level is initially \(10 \mathrm{~m}\) above the drain exit, estimate, assuming steady flow, the initial drainage rate. Estimate the flow rate when the kerosene level is down to \(5 \mathrm{~m}\), and then down to \(1 \mathrm{~m}\). Based on these three estimates, make a rough estimate of the time it took to drain to the \(1-\mathrm{m}\) level.