In your kitchen, the sink is \(60 \mathrm{~cm}\) by \(45.7 \mathrm{~cm}\). by \(30.5 \mathrm{~cm}\). deep. You are filling it with water at the rate of \(252 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s}\). How long will it take (in min) to half fill the sink? After this you turn off the faucet and open the drain slightly so that the tank starts to drain at \(63 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s}\). What is the rate \((\mathrm{m} / \mathrm{s})\) at which the water level drops?