
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
The surface area of a sphere is $144\pi\text{ cm}^2$. The sphere fits exactly inside a cylinder that has the same height as the diameter of the sphere. What is the volume, in cubic centimeters, of the sphere and the cylinder? Express your answer in terms of $\pi$.

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