
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 pyramid-shaped structure is buried in the sand, with a total height of 9000 meters. The top $\frac{1}{9}$ of the volume of the pyramid is above the sand surface. Determine the depth of the sand covering the base of the pyramid.

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