Answer
$\frac{4}{\pi}$
Work Step by Step
The volume of the square pyramid: $\frac{1}{3}(2r)^2h$
The volume of the inscribed cone:$ \frac{1}{3}\pi r^2h$
The ratio: $\frac{\frac{1}{3}(2r)^2h}{ \frac{1}{3}\pi r^2h}=\frac{4}{\pi}$
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