$2.$ A buoy carrying a beacon light has the upper portion cylindrical with a $2$ m diameter and a depth of $1\mathrm{.}25$ m $.$ The lower portion which is curved, displaces a volume of $400$ liters and its center of buoyancy is situated $1\mathrm{.}3$ m below the top of the cylinder. The center of gravity of the whole buoy and beacon is situated $0\mathrm{.}95$ m below the top of the cylinder and total displacement is $2\mathrm{.}6$ tonnes. Find the meta$-$centric height. Take the specific mass of sea water $\backslash (1020\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}3\backslash ).$