
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. Custom fitting the ball requires drilling one hole that is 10 cm deep with a diameter of 5 cm and another that is 12 cm deep with a diameter of 4 cm. Assuming the holes are right circular cylinders, calculate the adjusted volume of the bowling ball, expressed in terms of $\pi$ cubic centimeters.

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