Find the most suitable system of coordinates to describe cylindrical shell of height 10 determined by the region between two cylinders with the same center, parallel rulings, and radii of 2 and 6 respectively. Draw a picture of such a cylinder for which the rulings are not parallel to the z-axis Describe the surface in your picture using your chosen coordinate system. Take a picture of your work and upload it!

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.