
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two identical cylindrical vessels are connected at the bottom level by a small section of pipe with a valve. While the valve was closed, water was poured into the first vessel and oil into the second vessel so that the level of the liquids was the same and equal to $h=40$ cm. At what level will the water in the first vessel be when the valve is opened? The density of water is 1000 kg/m\(^3\) and the density of oil is 700 kg/m\(^3\). Neglect the volume of the connecting pipe. Provide the answer in centimeters.

Present the answer in LaTex format: \boxed{Your answer}
user