Find the volume of the cylinder with base as disk of unit radius in the $xy$ plane centered at $(1,1,0)$ and top being the surface $z=[(x-1)^2+(y-1)^2]^{3/2}$
According to me it should be
$$\int_0^{2\pi}\int_0^1\int_0^{r^3}r dzdrd\theta$$ Am I right?