Sphere - a sphere is a three-dimensional analogue of a disk. The boundary of a sphere is a three-dimensional closed curved surface such that every point on the surface is equidistant from the center
Ellipsoid - the three-dimensional analogue of an ellipse, it can be thought of as a sphere that has been squished or stretched in one or two directions. If two of the three axes have equal length it is called a spheroid. See Ellipsoid Surface Area Formula.
Cone - a cone has a circular base that tapers linearly to a point, called the apex. If the tip is sliced off, the resulting shape is called a conical frustum.
Cylinder - a cylinder has two circular bases of equal size at the ends, and a middle section that can be formed by rolling a rectangle into a tube. It is the standard shape for canned foods. A conical frustum is like a cylinder except that the circular ends are different sizes.
Barrel - like a cylinder, both ends of a barrel are circles of equal size. But unlike a cylinder, its sides do not go straight up and down, but rather bulge outward in the middle.
Torus - a torus is the technical mathematical term for a doughnut or bagel shape.
Dome - a dome is any solid shape that has a flat base and a curved surface connecting the boundary of the base. A hemisphere (sphere cut in two) is a type of dome, as is a spherical cap.