Word Count : 408

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Let's break down the problem step by step. We are asked to find the equation of a cylinder with a given base and its axis defined by a pair of equations. The two equations provided are: 1. \( x^2 + y^2 + z^2 - 3x - 6z + 9 = 0 \) (This is the equation of a circle or a conic in 3D space, likely describing the base of the cylinder) 2. \( x - 2y + 2z - 6 _________ ________ ___ ____ _____ ________ ________ __________.
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