
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
Consider a bowling ball with a spherical diameter of 24 cm. To customize the bowling ball, three holes are drilled for throwing. The holes drilled are 6 cm deep with diameters of 2.5 cm, 2.5 cm, and 4 cm. Assuming the holes are perfect right circular cylinders, calculate the total volume of the custom bowling ball in cubic centimeters. Provide your answer in terms of $\pi$.

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