
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 cylinder with a radius of 8 cm and a height of 12 cm is divided into three equal wedges along its height by slicing through the cylinder. Find the volume of one of these wedges.

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