
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 of radius 3 feet has a total surface area of $30\pi$ square feet. What is the height of this cylinder?

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