Answer: A. [tex]14 cm^{3}[/tex]
Explanation:
According to the Archimedes' Principle:
A body totally or partially immersed in a fluid at rest, experiences a vertical upward thrust equal to the mass weight of the body volume that is displaced.
In this case the fluid is water. So, the rock, being more dense, will weigh more than water and therefore will displace water that will make the water level in the cylinder to ascend.
Therefore, if we have an initial volume [tex]V_{1}=20 ml=20 cm^{3}[/tex] and after the rock was placed the water level rised to [tex]V_{2}=34 ml=34 cm^{3}[/tex] (which is the volume displaced by the rock).
We can find the volume of the rock by the following equation:
[tex]V=V_{2}-V_{1}[/tex]
[tex]V=34 cm^{3} - 20 cm^{3}[/tex]
Then:
[tex]V=14 cm^{3}[/tex]
