
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
There is a cone circumscribed around a sphere with a radius of 1, and the height of the cone is twice the diameter of the sphere. Find the ratio of the total surface area of the cone to the surface area of the sphere.

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