
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
In certain cassette tapes, a tape with a thickness of $0.0075 \mathrm{~mm}$ is wound onto spools with a diameter of $11 \mathrm{~mm}$. The distance between the centers of the spools is $42 \mathrm{~mm}$. What is the maximum length of tape that can be accommodated in a usable cassette tape? (The tape must be able to move unobstructed from the full spool to the empty spool.)

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