
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 spherical surface and a diameter of 40 cm. To custom fit a bowling ball for each bowler, three holes are drilled in the ball. Bowler Sam has holes drilled that are 10 cm deep and have diameters of 2 cm, 3 cm, and 4 cm. Assuming the three holes are right circular cylinders, find the volume of the adapted bowling ball in cubic centimeters. Express your answer in terms of π.

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