Imagine a 3D cylinder, like a can. Now imagine that almost like an axle spot for a wheel, there's a hole shaped in a perfect circle going down the cylinder. That's the shape I have to figure out the name for. Mathematical names are preferred, but any name works!
A solid cylinder with an axial hole is still a cylinder. If the length of the cylinder is very much less than the diameter and the bore is small compared to the diameter it is a washer. If the length is much larger than the diameter, and especially if the bore is nearly as large as the cylinder diameter it is a tube.
A cylinder -with the generating lines perpendicular to the bases, with its ends closed to form two circular surfaces- with a hole perpendicular to its base, is a right circular, open cylinder.
Its function tells us if it's a pipe, washer, bearing, beer can, ect.
Google's 4th picture hit for open cylinder:
In technical terms, it seems that the three dimensional object would be called an annular cylinder:
A problem in generalized thermoelasticity for an infinitely long annular cylinder
1 A ring-shaped object, structure, or region.
A barrel is also a common less technical reference for a bored cylinder:
A cylindrical tube forming part of an object such as a gun or a pen:
Tube, pipe and ring also offer less technical descriptions.
International Journal of Engineering Science Volume 26, Issue 3, 1988, Pages 301–306
I've always considered that a Toroid
Stealing from other answers as well.
- Tube (if it's longer than it is wide)
- Tunnel (if it's a tube big enough to crawl or drive through)
- Pipe (if it's long and fixed in place)
- Hose or Conduit (if it bends)
- Ring or Disc or Washer (if it's shorter than it is wide)
- Straw (if you drink through it)
- Bucket (if it has a cover on one end)
- Bottle (if it's a bucket with the open end narrower than the closed end)
- Can or Canister or Capsule (if it has a cover on both ends)
- Duct (if it has junctions)
- Barrel (if you shoot projectiles through it, or it's made of compressed wood planks, or it's a canister big enough to store a person)
- Toroid (if its ends meet)
- Sleeve (if it's designed to snugly surround something)
- Coil or Solenoid (if it's made by tightly winding material around a cylinder)
- Bushing (if it has internal, inverse screw threading)
This is what I remember using in geometry class: "coaxial cylinders". Pipe is correct too. Disclaiming that the hole is not implied there. This question is very close to yours, check it out.