
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 cone and a sphere have equal volumes, and the radius of the base of the cone is twice the radius of the sphere. If the height of the cone is 1, then the surface area of the sphere is ______.

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