
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
What is the ratio of the lateral surfaces of two similar frustums of cones? What about the ratio of their total surfaces? Their volumes? The radii of the sections made through the midpoints of their heights parallel to the bases?

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