
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 formula for the total surface area of a cylinder is \( SA = 2\pi r^2 + 2\pi rh \), where \( r \) is the radius and \( h \) is the height. A particular solid right cylinder has a radius of 3 feet and a total surface area of \( 36\pi \) square feet. What is the height of this cylinder?

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