Example $7$

A solid cylinder with a diameter of $5\mathrm{.}0$ m has a height of $5\mathrm{.}0$ m $.$ Find the meta$-$

centric height of the cylinder if the specific gravity of the material of the

cylinder is $0\mathrm{.}7$ and it is floating in water with its axis vertically. State whether

the equilibrium is stable or unstable.

$[$Ans$.-0\mathrm{.}304$ m $,$ Unstable Equilibrium$]$