
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 solid bowling ball with a spherical surface has a diameter of 24 cm. For a custom fit, two holes are drilled for bowler Alex. The holes, which are right circular cylinders, have depths of 6 cm and diameters of 3 cm and 4 cm, respectively. Calculate the volume of the bowling ball after the holes have been drilled, expressed in terms of \(\pi\).

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