Let the square given by \[\{(x,y) \in \mathbb{R}^2 ;1 \leq x \leq 3,\quad 1 \leq y \leq 3\}\] rotating around \(x\)-axis in \(\mathbb{R}^3\).

The volume of the "surface" of revolution obtained can be written as \(A\pi\).

Submit \(A\).

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