Question: S is a region on the plane 5 x + 4 y + 8 z = 7 contained within the vertical cylinder px 2 +

S is a region on the plane 5x +4y +8z =7 contained within the vertical cylinder px2+ qy2= R2. The base of the cylinder, A, where it interescts the xy-plane, is an ellipse. If the area of A, the portion of the xy-plane within the cylinder, is 30, what is the surface area of S?

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