
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
Given the volume of the hemisphere is $144\pi cm^{3}$, and the radius and height of the smaller base of the frustum are both half of the radius of the other base, determine the volume of the model.

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