
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
Water is pumped from the first tank to the second until the depth of water in both tanks is the same. Given the first tank has a radius of $4$ metres, a height of $10$ metres, and is full of water, and the second tank has a radius of $6$ metres, a height of $8$ metres, and is empty, determine the depth of water in each tank, in metres.

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