Question about cylindrical (ie. 3d polar) coordinate system.

[glog]

Question Details:

Convert the following equation into cylindrical coordinates...
x^2 + y^2 + z^2 = 4

It's obvious that r^2 = x^2+y^2... but that would only simplify the equation to:
r^2 + z^2 = 4 ... is there a better way to do this?

 

[Dick]

That's all you need to do. Your result is in cylindrical coordinates.

 

[HallsofIvy]

Question Details:

Convert the following equation into cylindrical coordinates...
x^2 + y^2 + z^2 = 4

It's obvious that r^2 = x^2+y^2... but that would only simplify the equation to:
r^2 + z^2 = 4 ... is there a better way to do this?

A better way to do what? The problem you stated was "convert the equation to cylindrical coordinates" and you did that. If you are concerned that it in not "simplified" enough, the problem did NOT say "simplify" it!