2. Consider a cylinder of mass M, length and cross sectional area A floating upright in water, density p., so that a length h is submerged. Atmospheric pressure is Py. (a) Write down an expression for the buoyancy pressure Py at the base of the cylinder. (b} The buoyancy force Fgis the resultant vertical force exerted on the cylinder by the air and water. Find an expression for the net buoyancy force Fyy and hence verify Archimedes' principle, that the force acting on an object immersed in a fluid is equal to the weight of the displaced fluid. (c) Does Archimedes' principle apply to an object which is entirely immersed in the fluid? Explain