
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
Given a sphere $O$ with a radius of $9$, and the center of the sphere is $O$. The section of the sphere $O$ cut by a certain plane is circle $M$. The maximum volume of a cone with circle $M$ as the base and $O$ as the vertex is ______.

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