How to create a ezcontour in cylindrical domain?

hi friends

i have a temperature profile that is a function of radious, r, like this:

 syms r
T= -r ^ 2 + 1;

i want to create cylindrical contours in this domain: 0<r<1 ( with symbolic functions) i can do this work by Maple but i want draw it with matlab. the shape that i want to obtain is available in attached file. explain what command i should use or how can i change the coordinate type to cylindrical to recognize the T(r) as a 2D function.

thanks a lot

Answer 1

[Mike Garrity]

Can't you just add the definition of R in terms of X & Y?

syms x y
r = sqrt(x^2+y^2);
t = -r^2 + 1;
ezcontour(t)
axis equal

[Moein]

it works but you see that the domain is not 0<r<1. i found the axact answer of my question here:

https://www.youtube.com/watch?v=wSYvIJ0cPgM

but thank you for your answer Mike.

[Mike Garrity]

I'd forgotten that pol2cart works on syms!