<s>[INST] The fluid in a cylindrical tank is flowing out at a rate of $0.32$ m$^3$/min. The height of the tank is $0.4$ m. The tank has a radius of $0.5$ m and a constant cross-sectional area of $0.25\pi$ m$^2$. A ball of radius $0.15$ m is placed in the tank and is fully submerged. The ball is then removed. How much does the water level rise after the ball is removed?[/INST]