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

The answer is 160.

1 solution

Finn Hulse
Apr 11, 2014

See my solution to C'mon, More logs? . Once established that the radius is four, the volume is simply $4^2 \times 10 \times \pi \Longrightarrow 160\pi$ and thus the desired answer is $\boxed{160}$ .

Enough of these logs.

The answer is 160.

1 solution

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