
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 right circular cylinder is inscribed in a right circular cone with the cone's diameter being 16 and altitude being 20. The cylinder's diameter is equal to its height, and the axes of the cylinder and cone coincide. Determine the radius of the cylinder. Express your answer as a common fraction.

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