
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
Sophia constructs a conical lampshade for a design project. The lampshade has a height of 15 inches and a circular base with a diameter of 8 inches. Sophia needs to find the smallest cylindrical container to pack her lampshade in such that the lampshade fits completely inside when placed upright. What is the volume of this cylindrical container, in cubic inches?

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