
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 shot put ball, which is a solid sphere with a diameter of 20 cm, requires custom weighting by partially filling three cylindrical cavities. Each cavity is to be 4 cm deep. The diameters of the cavities are 1.5 cm, 1.5 cm, and 2 cm. Assuming the cavities are perfectly cylindrical, calculate the volume of the sphere left after the cavities are filled in cubic centimeters. Express your answer in terms of $\pi$.

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