
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 cylindrical log of cheese has a radius of $6$ cm and a height of $8$ cm. If a wedge is cut from the cheese such that it represents one third of the volume of the original cylinder, find the volume of the wedge in cubic centimeters.

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