
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 right circular cylinders have the same volume. If the radius of the second cylinder is $20\%$ more than the radius of the first, how does the height of the first cylinder compare to the height of the second?
A) The first height is $44\%$ more than the second.
B) The second height is $44\%$ less than the first.
C) The first height is equal to $144\%$ of the second.
D) The second height is equal to $69\%$ of the first.

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