
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 frustum of a cone has a circumference of one base that is 3 times the circumference of the other base, and the slant height is 3. If the lateral surface area of the frustum is $84\pi$, calculate the radius of the smaller base of the frustum.

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