
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 sphere is cut into eight congruent wedges. The circumference of the sphere is \(18\pi\) inches. What is the number of cubic inches in the volume of one wedge? Express your answer in terms of \(\pi\).

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