Chapter 11.7, Problem 78E

(a)

To determine

For a given graph, match of the graph with the given equations,

$\begin{array}{l}\left(\text{i}\right)\text{}{x}^2+y^2=\frac{4}{9}{z}^2\\ \left(\text{ii}\right)x^2+y^2-z^2=2\end{array}$

and convert the rectangular equation to cylindrical equation.

(b)

To determine

The match of the graph with the given equations,

$\begin{array}{l}\left(\text{i}\right)\text{}{x}^2+y^2=\frac{4}{9}{z}^2\\ \left(\text{ii}\right)x^2+y^2-z^2=2\end{array}$

and to convert the rectangular equation to cylindrical equation.