A decorative fountain must project a vertical jet that rises 2.0m above its nozzle while delivering a volumetric flow rate of 6.0×10−4m3/s. The supply pipe brings water to the fountain at 0.40m/s through an internal radius of 5.0cm. Determine the radius the nozzle should have so that both the required height and flow rate are achieved. Ignore viscosity and air resistance, and assume incompressible flow.