
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 by a small cross-sectional area tube with a valve. While the valve was closed, water was poured into the first vessel, and oil was poured into the second vessel so that the liquid levels were the same and equal to $h=40 \, \text{cm}$. At what level will the water settle in the first vessel if the valve is opened? The density of water is $1000 \, \text{kg/m}^3$, and the density of oil is $700 \, \text{kg/m}^3$. Neglect the volume of the connecting tube. Provide the answer in centimeters.

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