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

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F.O
F.O on 5 Oct 2017
Answered: KSSV on 6 Oct 2017
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.

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