(Solved): Find the rectangular equation for the surface by eliminating the parameters from the vector-valu ...

Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function. \[ \mathbf{r}(u, v)=3 u \cos (v) \mathbf{i}+3 u \sin (v) \mathbf{j}+18 u^{2} \mathbf{k} \] Identify the surface. sphere paraboloid cylinder cone plane Sketch its graph.