
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
Regular hexagon \( ABCDEF \) is the base of the right pyramid \( PABCDEF \). If \( PAD \) is an equilateral triangle with side length 10, and the height \( PO \) of the pyramid from the apex \( P \) to the center \( O \) of the base is directly given as 10, find the volume of the pyramid.

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