Describe the surface whose equation in cylindrical coordinates is z = 3.
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

Question

Quizplus · Accepted Answer

The equation z = 3 is independent of the cylindrical coordinate system's radius and angle. Hence, it represents a horizontal plane or half-plane in the xyz-coordinate system. Therefore, A, B, C, F, G, and H can be ruled out as choices.

Describe the Surface Whose Equation in Cylindrical Coordinates Is Z