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Describe the graph of the set of point...

Describe the graph of the set of points `(x,y,z) ` where `x^(2) +z^(2) =1.`

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Since y is not in the equation . It can take any value , when restricted to the xz plane , the equation is that of a circle with radius 1 and the center at the origin ,Therefore in xyz space , the equation represents a cylindrical shape , centered at the origin , that extends indefinitely in both directions along the y- axis .
A solid figure can also be obtained by rotating a plane figure about some line in the plane that does not intersect the figure .
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