
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
On a $2 \times 30$ minute audio cassette tape, the smallest diameter of the tape reel is $2 \mathrm{~cm}$, and the largest diameter is $4.5 \mathrm{~cm}$. How thick is the tape? (The playback speed is $4.75 \mathrm{~cm} / \mathrm{s}$. )

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