
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
Given a right circular cylinder with radius $r$ and height $m$, there exists another right circular cylinder that is not congruent with the original, yet has the same volume and surface area as the original. Determine the dimensions of the latter cylinder in general, and specifically, when $r=8 \text{ cm}, m=48 \text{ cm}$.

In which special case will the second cylinder be identical to the first?

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