GA=FA=pSA，GB=FB=pSB，
It can be seen that ga < GB,
After the ball is put in, if the ball floats or suspends, the liquid pressure at the bottom of each container is equal.
GA+G a =GB+G b, because, ga < GB,
If the ball sinks, the pressure of the liquid at the bottom of container A: FA ′ < GA+GA,
The pressure of the liquid at the bottom of the container is A: FB' < Gb+Gb,
Although the pressure of liquid on the bottom of each container is equal, the relationship between G A+GA and G B+GB is uncertain, that is, the relationship between GA and GB is uncertain.
So the quality of ball A and ball B cannot be determined, so BD is wrong.
(2) Because the liquid phases of container A and container B are flat before releasing the ball, the pressure of the liquid at the bottom of the container is equal.
According to p = p = P=ρgh, rhoa = rhob,
FA=ρAghASA, FB=ρBghBSB after releasing the ball,
And the pressure is equal, so hASA=hBSB,
That is, the sum of the liquid volume and the ball volume of the two containers is equal.
Because, before releasing the ball, the liquid volume of container A is smaller than that of container B. 。
Therefore, the volume of boiling water discharged by ball A is larger than that of ball B, but it is not certain that the volume of ball A is larger than that of ball B. 。
So, C is wrong.
(3) According to Archimedes principle, the densities of the two liquids are the same, and the boiling water volume discharged by ball A is greater than that discharged by ball B,
So the buoyancy of ball A is greater than that of ball B, so A is correct.
So choose a.