What threedimensional shape is represented by the graph of t

What three-dimensional shape is represented by the graph of the set of points (r cos theta, r sin theta, z), where r is a constant real value, theta ranges from 0 to 2pi radians, and z ranges over the real numbers.

Solution

The three dimensional shape is represented by the graph of set points ( r cos , r sin , z ) is cylindrical polar coordinate system.

In three dimensional cylindrical polar coordinate system : x = r cos , y = r sin , z = z