Final answer:
Without explicit volumes for vessels P and Q, it is impossible to determine the total volume of water in vessel R. The examples suggest missing data that is needed to solve the problem.
Step-by-step explanation:
To determine the volume of water in vessel R after completely pouring the contents of vessels P and Q into it, we need to know the volume of water in each of the two vessels beforehand. Unfortunately, the information given does not specify the volumes for vessels P and Q. However, based on the examples provided, we can infer that there might be a missing piece of data that is required to solve this problem. For instance, if vessel P had 0.02 liters and vessel Q had 0.18 liters, combining them would result in 0.20 liters of water in vessel R, corresponding to answer option C. Without the exact volumes from vessels P and Q, we cannot confidently determine the correct amount of water in vessel R.