Problem 1: A metal cylinder of height h = 0.8m and cross-section S = 0.02m^2, is floating upright in water. The density of the metal cylinder is p metal = 550kg/m^3, and the density of water is p water = 1000 kg/m^3. Compute the length of the cylinder outside the water.
Problem 2: A tank of large area is filled by water to a depth D = 2cm. A hole of cross-sectional area S = 0.01m^2 in the bottom of the tank allows water to drain out. At what distance below the bottom of the tank is the cross-sectional area of the stream equal to S/2?