
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
Let's draw a circle around the triangle \(ABC\) and rotate it around the tangent drawn to the circle at point \(A\). What is the surface area described by side \(BC\) and what is the volume of the solid generated by the rotation of the triangle \(ABC\)?

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