
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
Given a right-angled triangle ABC with the length of the perpendicular sides AC and BC being 3 cm and 4 cm, respectively, if triangle ABC is rotated around the line containing side AC, find the lateral surface area of the resulting solid in cm².

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