
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 diameter of 12 cm and is cut into a wedge that represents one-third of the total volume of the log. The height of the cylinder is the same as its diameter. Calculate the volume of the wedge of cheese.

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