Which of the following does the vector function \( r(u,v) = v \cos(u) \mathbf{i} + v \sin(u) \mathbf{j} + 2 \mathbf{k} \) with \( v \) in the range \([0,2]\) and \( u \) in the range \([0,2\pi]\) describe?

a) A sphere
b) A cone
c) A cylinder
d) A plane