Identify the cylinder defined by the equation \(y^{2}=8z\). Describe how it can be generated.
Solution \(y^{2}=8z\) is an equation of a parabolic cylinder. Since \( x \) is the missing variable, the cylinder is generated by moving a line that is perpendicular to the \(yz\)-plane along the parabola \(y^{2}=8z.\) See Figure 72
