
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 bowling ball is a solid sphere with a diameter of 24 cm. In customizing the bowling ball for a bowler named Alex, three holes are drilled into the ball. These holes, shaped as right circular cylinders, are 5 cm deep and have diameters of 2.5 cm, 2.5 cm, and 4 cm respectively. Calculate the volume remaining in the bowling ball after these modifications, expressing your answer in terms of $\pi$.

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