
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 distance of a point light source from a sphere is equal to three times the radius of the sphere. How does the illuminated area of the sphere compare to the lateral surface area of the cone of light?

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