Identify the Surface by Eliminating the Parameters from the Vector-Valued $\mathbf { r } ( u , v ) = 6 \cos v \cos u \mathbf { i } + 6 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }$

Multiple Choice

Identify the surface by eliminating the parameters from the vector-valued function $\mathbf { r } ( u , v ) = 6 \cos v \cos u \mathbf { i } + 6 \cos v \sin u \mathbf { j } + 3 \sin v \mathbf { k }$

A) plane
B) sphere
C) paraboloid
D) cylinder
E) ellipsoid