$(10$ points$)$ A beaker is filled to the brim with water. A solid object of mass $3\mathrm{.}00$ kg is lowered into the beaker so that the object is fully submerged in the water $($see the drawing$).$ During this process, $2\mathrm{.}00$ kg of water flows over the rim and out of the beaker. What is the buoyant force that acts on the submerged object, and, when released, does the object rise, sink, or remain in place?

A$.19\mathrm{.}6$ N ; the object sinks

B$.19\mathrm{.}6$ N ; the object rises

C$.29\mathrm{.}4$ N ; the object sinks

D$.29\mathrm{.}4$ N ; the object rises

E$.19\mathrm{.}6$ N ; the object remains in place