
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 24 cm. To custom fit the ball for a bowler, three holes are drilled into the ball. The depths of the holes drilled are 6 cm, 6 cm, and 4 cm, with diameters of 1 cm, 2 cm, and 4 cm respectively. Each of the three holes is a right circular cylinder. Determine the volume of the custom fitted bowling ball in cubic centimeters, expressing your answer in terms of $\pi$.

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