A spring with spring constant $40$ N$/$mN$/$m is attached to the ceiling, and a $5\mathrm{.}5-$cmcm$-$diameter, $1\mathrm{.}3$ kgkg metal cylinder is attached to its lower end. The cylinder is held so that the spring is neither stretched nor compressed, then a tank of water is placed underneath with the surface of the water just touching the bottom of the cylinder. When released, the cylinder will oscillate a few times but, damped by the water, quickly reach an equilibrium position.When in equilibrium, what length of the cylinder is submerged?