
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 radius of a sphere is $4p$ units and the radius of a hemisphere is $8p$ units. Additionally, consider a cone that has a height equal to the radius of the sphere and a base radius equal to that of the hemisphere. What is the ratio of the volume of the combined sphere and hemisphere to the volume of the cone?

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