Describe the Surface Whose Equation in Cylindrical Coordinates Is $z = r ^ { 2 }$

Describe the surface whose equation in cylindrical coordinates is $z = r ^ { 2 }$ .

A) Cylinder with vertical axis
B) Cylinder with horizontal axis
C) Sphere
D) Vertical plane or half-plane
E) Horizontal plane or half-plane
F) Paraboloid
G) Cone or half-cone with vertical axis
H) Cone or half-cone with horizontal axis