
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 construction site received a shipment of gravel that formed a conical pile with a diameter of 12 feet. The height of this cone was 60% of its diameter. Nearby, there is a cylindrical storage tank with the same diameter and twice the height of the cone. Calculate the total volume of the gravel in the cone and the air in the cylindrical tank, expressed in terms of $\pi$.

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