1. A cylindrical tank as shown is being filled with liquid water at a volume flow Q1=1.0gal/min, while the water also drains from a bottom hole with a 6mm diameter. Initially ( t=0 ) the tank is empty. Find a) the variation with time of the tank fill level, h(t), b) plot this variation with time out to a half hour, and c) estimate the eventual maximum fill level (cm) in the tank