
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 40 cm. To custom fit a bowling ball for bowler Alex, three holes are drilled into the ball. These holes, which are right circular cylinders, are 10 cm deep. The diameters of the holes are 2 cm, 4 cm, and 4 cm. Determine the number of cubic centimeters in the volume of the fitted bowling ball. Express your answer in terms of \(\pi\).

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