
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
On our ball with a red background and white dots, there are thirty (spherical cap-shaped) dots. The circumference of the ball's great circle is $54 \text{ cm}$, and the circumference of each dot is $11 \text{ cm}$. What percentage of the ball's surface is covered by dots?

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