Question

Identify an axis of revolution and generating conic of the surface `4x^2+25y^2+4z^2=100`. does this conic also generate `x^2/25+y^2/4+z^2/25=1`?

Answer 1

See below.

Explanation:

`4x^2+25y^2+4z^2=100` and
`x^2/25+y^2/4+z^2/25=1` represent the same surface which is an ellipsoid of revolution. It can be generated easily by rotating around the `y` axis the proper ellipse.