A nozzle with a diameter of 0.4 cm is attached to a garden hose with a radius of 10 cm. The flow rate through the hose and nozzle is 0.500 L/s.
1. Calculate the speed of the water in the hose.
2. Calculate the speed of the water in the nozzle.
3. Calculate the pressure in the hose, given that the absolute pressure in the nozzle is 1.01 x 10^5 N/m^2 (atmospheric, as it must be) and assuming level, frictionless flow.