
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
Amy and Carlos each roll a sheet of paper into a cylindrical tube. Amy uses a 10-inch by 12-inch paper and tapes the two 10-inch sides together. Carlos uses an 8-inch by 14-inch paper and tapes the two 14-inch sides together. Calculate the absolute difference in volumes of the two tubes formed.

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