
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 cylindrical container with a ball inside, where the ball is tangent to the side and top and bottom surfaces of the cylinder. Determine the ratio of the volume of the cylinder to the volume of the ball.

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