The intersection of a plane with this figure will create an ellipse, since it is formed by translating a circle along a perpendicular axis.
In one sense, this figure is equal to the product of S1 and a subset of the real line. A Steinmetz solid is produced from the intersection of these objects. The volume of a solid of revolution can be computed by decomposing it into a number of shells of these objects and integrating. A system of coordinates named for this figure is useful for solving problems that have an axial symmetry, and is constructed by adding a z-axis to polar coordinates. The intersection of a plane with this figure will create an ellipse, since it is formed by translating a circle along a perpendicular axis. For 10 points, name this three-dimensional shape whose volume is given by "pi times radius squared times height".
In one sense, this figure is equal to the product of S1 and a subset of the real line.
cylinder