Question

Use appropriate software to sketch each of the following surfaces and identify it.
3ϰ^2+5z^2=225
12z^2=36x^2+〖49y〗^2

Answer 1

First surface

$$3x^2+5z^2=225$$

This is a cylindrical surface with an axis Oy and at the base of an ellipse.

This surface looks like this:

2) Second surface

$$12z^2=36x^2+49y^2$$

This is a conical surface with the axis Oz.

( More information: https://en.wikipedia.org/wiki/Conical_surface )

This surface looks like this:

All surfaces were built using the site: https://www.geogebra.org/3d