
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 that the diameter of the base and the height of the cylinder are equal to the diameter of a sphere, find the ratio of the surface area of the sphere to the surface area of the cylinder, and the ratio of the volume of the sphere to the volume of the cylinder.

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