
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 solid sphere has a diameter of 24 cm. To customize it for a project, three cylindrical holes are drilled into the sphere. The holes have depths of 10 cm, 10 cm, and 5 cm with diameters of 3 cm, 3 cm, and 4 cm respectively. Calculate the remaining volume of the sphere in cubic centimeters, expressed in terms of \(\pi\).

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