
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 cylinder has a height that is 3 times its base radius. If it is divided into a large and a small cylinder, the surface area of the large cylinder is 3 times the surface area of the small cylinder. Find the ratio of the volume of the large cylinder to the volume of the small cylinder.

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