Enough of these logs.

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A \( Logarithmic \space Log \) has radius \( \phi (2^n) \), where n is a positive integer from 1-10. Assume the log is a cylinder. The height of all the logs is a constant 10. The volume of the log when n=3 is \( a \pi \) where a is a positive integer. Find a.

Edit: Changed length to radius

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