I'm looking for references to books were the following types of problems about finding the equation defining a surface of revolution, a cylinder or a cone are treated. These are problems that are usually presented every semester in the University of Costa Rica's multivariable calculus course for engineers.
When I was in Costa Rica I asked the younger professors about references and nobody seemed to know, I have not seen such problems in calculus textbooks, and everybody seemed to have some old notes they had borrowed from somebody else when they faced the same situation of having to teach multivariable calculus and had to present these topics in class.
The types of problems I'm talking about are of the following sort.
Find the equation of the cylinder whose directrix is the curve $\begin{eqnarray} x^2 + y^2 + 2z^2 &= 8\\ x - y + 2z &= 0 \end{eqnarray} $ and whose generatrices are parallel to the line $(x, y, z) = (-3, 1, 5) + t(2, 1, -4), \quad t \in \mathbb{R}$.
Calculate the equation of the surface of revolution that results from rotating the line $\begin{eqnarray} x + y + z &= 0\\ y - z &= 0 \end{eqnarray} $ around the axis that is the intersection of the planes $x + y = 1$ and $z = 0$.
I actually know how to solve such problems by forming a system of equations and eliminating variables until one ends up with an equation involving only $x, y, z$ say, but I would like to have some references where the general theory of surfaces of revolution, cones and cylinders is treated.
Thank you very much for any help.