a A solid cylinder with a diameter of $4\mathrm{.}0m$ has a height of $3$ meters. Find the metacentric height of the

cylinder when it is floating in water with its axis vertical. The sp$.$ gr$.$ of the cylinder is $0\mathrm{.}6.$

b A circular plate of diameter $1\mathrm{.}2m$ is placed vertically in water in such a way that the centre of the

place is $2\mathrm{.}5m$ below the free surface of the water as shown in the figure. Determine $($i$)$ Total pressure

on the plate. $($ii$)$ Position of centre of pressure.