
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 has a spherical surface with a diameter of 36 cm. To custom fit a bowling ball for each bowler, three holes are drilled into the ball. Two of the holes have a diameter of 2 cm and depths of 9 cm and 10 cm respectively, and the third hole has a diameter of 4 cm and a depth of 9 cm. Assuming the holes are right circular cylinders, determine the volume of the bowling ball after the holes have been drilled, expressed in terms of $\pi$.

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