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^2/4+y^2/25+z^2/4=1` ?Give reasons for your answer.'

Answer 1

See below.

Explanation:

Arranging the conics as

`4x^2+4z^2=100-25y^2` and
`x^2/4+z^2/4 = 1-y^2/25` we see that both have the same rotation axis which is the `y` axis.