A lost shipping container is found resting on the ocean floor and completely submerged. The container is $6\mathrm{.}2$mlong,$2\mathrm{.}2m$ wide, and $3\mathrm{.}0$ m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is $1\mathrm{.}3$ m $,$ the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it$.$ Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is $1025k\frac{g}{m^3}.$