
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
Either increasing the radius of a cylinder by four inches or tripling the height of the cylinder results in the same volume. The original height of the cylinder is four inches. What is the original radius in inches?

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