Intersection between a sphere x^2+y^2+z^2 =6 and paraboloid z=x^2+y^2

I want to draw both sphere x^2+y^2+z^2=6 and paraboloid z=x^2+y^2 in 3D to determine the integration region that is the solid region inside the sphere and above the paraboloid. I tried

[x,y,z] = sphere; surf(x*sqrt(6), y*sqrt(6), z*sqrt(6));
 axis equal;
 hold on
 x=[-2.5:1:2.5]
 y=[-2.5:1:2.5]
 [x,y]=meshgrid(x,y)
 meshc(x.^2+y.^2,x,y)
 axis equal;

but i don't get the correct drawing and the paraboloid is got drawn outside the sphere.

Answer 1

[KSSV]

Your plot is fine.....check this for intersection. https://in.mathworks.com/matlabcentral/answers/93623-how-do-i-plot-the-line-of-intersection-between-two-surfaces