
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 5 m × 5 m flat square roof receives 6 mm of rainfall. All of this water drains into an empty rain barrel. The rain barrel is in the shape of a cylinder with a diameter of 0.5 m and a height of 1 m. Rounded to the nearest tenth of a percent, what percentage of the barrel will be full of water?

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