
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 6 feet. A cylindrical section with a radius of 3 feet and a height equal to the side of the cube is removed from the cube. What is the total remaining volume of the cube? Express your answer in cubic feet in terms of $\pi$.

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