Describe the surface whose equation in cylindrical coordinates is $z = 4 r$ .
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 $z = 4r$ in cylindrical coordinates describes a cone with a vertical axis. The relationship between $z$ and $r$ is linear, indicating that as you move away from the axis (increasing $r$), $z$ increases proportionally, creating a conical shape.

Describe the Surface Whose Equation in Cylindrical Coordinates Is z=4rz = 4 rz=4r

Describe the Surface Whose Equation in Cylindrical Coordinates Is $z = 4 r$