Water is going through a hose which has an inner diameter of LaTeX: 3.11\text{ cm}3.11 cm. Then, right before it exits the hose it goes through a nozzle that tapers down to a diameter of LaTeX: 3.75\text{ mm}3.75 mm. If the absolute pressure in the hose is LaTeX: 1.553\times10^{5}\text{ Pa}1.553 × 10 5 Pa, and the absolute pressure outside the hose and nozzle is LaTeX: 1.01325\times10^{5}\text{ Pa}1.01325 × 10 5 Pa, with what velocity will the water exit the nozzle into the air? Use LaTeX: 1000\text{ kg/m}^{3}1000 kg/m 3 for the density of water, and ignore turbulence, viscosity, etc.