
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
A yellow cylindrical storage tank has a diameter of 40 feet and a height of 100 feet. A blue stripe with a horizontal width of 5 feet starts from the bottom, making three complete revolutions around the tank, and halfway through, the stripe widens to 7 feet for another three revolutions up to the top. What is the area of the painted stripe in square feet?

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