
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
Two cylindrical poles, one with a diameter of 8 inches and another with a diameter of 24 inches, are placed together and bound with wire. What is the length of the shortest wire that will go around them both?
A) \(16\sqrt{3} + 9\pi\)
B) \(16\sqrt{3} + \frac{28\pi}{3}\)
C) \(16\sqrt{3} + 10\pi\)
D) \(16 + 15\pi\)

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