
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 with a small-diameter 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 identical and equal to $h = 40 \text{ cm}$. At what level will the water establish in the first vessel if the valve is opened? The density of water is 1000 kg/m³, the density of oil is 700 kg/m³. Neglect the volume of the connecting tube. Provide the answer in centimeters.

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