This is the shape of a degenerate hyperboloid, and it can be represented in spherical coordinates by setting the azimuth equal to a constant.
The mapping type of this shape is sometimes called a homotopy (hoh-MAH- toh-pee) co-fiber and is similar to a quotient space. This is the shape of a degenerate hyperboloid, and it can be represented in spherical coordinates by setting the azimuth equal to a constant. The rectangular formula for this shape is z squared equals x squared plus y squared, and slices of this shape were famously studied by Apollonius (ap-uh-LOH-nee-us) of Perga (PUR-guh). As with pyramids, this shape has a volume equal to one-third base times height. Identify this shape that has a circular base and a vertex.
The mapping type of this shape is sometimes called a homotopy (hoh-MAH- toh-pee) co-fiber and is similar to a quotient space.
right circular cone [or nappe]