
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 customize the ball, four holes are drilled into it. The holes drilled have diameters of 3 cm, 3 cm, 4 cm, and 5 cm, with respective depths of 10 cm, 10 cm, 12 cm, and 8 cm. Assuming the holes are right circular cylinders, calculate the remaining volume of the bowling ball in cubic centimeters expressed in terms of $\pi$.

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