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

Answer:

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.