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Use cylindrical coordinates to set up a triple integral for the volume of the solid which lies above \( z=\left(x^{2}+y^{2}\right)\left(\sqrt{3}+1-x^{2}-y^{2}\right) \) and below the sphere \( x^{2}+y^{2}+z^{2}=4 \) for \( x^{2}+y^{2} \leqslant 1 \)