
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
A cylinder with radius \(2 \text{ cm}\) and height \(8 \text{ cm}\) is full of water, and a second cylinder of radius \(4 \text{ cm}\) and height \(8 \text{ cm}\) is empty. Calculate the depth of the water in the second cylinder after all the water from the first cylinder is poured into it.

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