A decorative fountain must produce a vertical jet that rises 4.0m above a circular nozzle while delivering a steady volume flow rate of 7.5L⋅s−1. Assuming ideal flow and negligible air resistance, what should be the diameter of the nozzle? (Take g=9.8m⋅s−2 and note that 1L=1×10−3m3.)
a) 1.6cm
b) 3.3cm
c) 5.8cm
d) 3.9cm