7. (10%) Find the volume of the solid that is bounded by the elliptic paraboloid \( x^{2} + 2y^{2} + z = 16 \), the planes \( x = 2 \), \( y = 2 \), and the three coordinate planes.
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7. (10%) Find the volume of the solid that is bounded by the elliptic paraboloid \( x^{2} + 2y^{2} + z = 16 \), the planes \( x = 2 \), \( y = 2 \), and the three coordinate planes.