Let S be the surface of the solid region formed from the intersection of the solid region underneath the cone z = 2 - 3((x^2 + y^2))^(0.5) and above the region above the plane z = 0.

I suppose I use cylindrical coordinates to parameterise.

What would be the value of p (i.e rho)? Is it 1/3? And what is the domain of the parameters?

And are there 3 outward normals?

Someone please tell me if I am right or wrong. Thanks.