
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 with two sides adjacent to the right angle measuring 6cm and 8cm respectively. If this right-angled triangle is rotated about the straight line containing one of its adjacent sides for one full rotation, a cone is formed. Calculate the volume of this cone in cm<sup>3</sup>. (Express the result using π)

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