
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
The height of the large cylinder is twice that of the small cylinder. The lateral surface area of the large cylinder is 12 times the lateral surface area of the small cylinder. The volume of the large cylinder is $\qquad$ times the volume of the small cylinder.

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