
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 cube has sides of length 8 cm. If a cylindrical section of radius 2 cm is removed vertically through the cube, and the height of the cylinder is equal to the side of the cube, what is the total volume remaining in the cube? Express your answer in cubic cm in terms of $\pi$.

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