
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 a frustum of a cone with the radii of the top and bottom bases being 2 and 4, respectively, and the lateral area equal to the sum of the areas of the two bases, find the slant height and the volume of the frustum.

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