
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
Ally and Becca each roll a sheet of paper to form cylindrical tubes. Ally tapes a 10-inch diameter circle to create her cylinder, and Becca tapes a 14-inch diameter circle. They both maintain a cylinder height of 8 inches. What is $\pi$ times the positive difference of the volumes of the two tubes?

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