
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 basketball has a spherical shape with a diameter of 50 cm. Four holes are drilled into it, needed for securing the handles. Each handle requires two holes opposite each other, drilled 10 cm deep. The holes have diameters of 4 cm, 4 cm, 3 cm, and 3 cm. Assuming each hole forms a right circular cylinder, calculate the volume of the basketball after attaching the handles, expressed in terms of $\pi$ cubic centimeters.

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