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?

1 Answer
Apr 9, 2018

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.