a $($i$)]$ Derived an expression for the metacentric height of a floating body.

a $($ii$)]$ A block of wood of specific gravity $0\mathrm{.}7$ floats in water. Determine the metacentric height of the block if the size of the block is $2m1m0\mathrm{.}8m.$

b ii$)]$Figure shows a hydraulic press with the larger piston of diameter $35cm$ at a height of $1\mathrm{.}5m$ relative to the smaller piston of diameter $10cm.$ The mass on the smaller piston is $20kg.$ What is the force exerted on the load by the larger piston? The density of oil in the press is $750k\frac{g}{m^3},($Take $\{$:$g=9\mathrm{.}8\frac{m}{s}2).$