What is the name of this shape

A rough description could be a cylinder with two different size bases (circles). Look at the picture below for help.

http://www.crobike.de/en/werbemittel_bil…

What's it called mathematically?

It is called a truncated cone or a frustrum of a cone.

It's called a styrofoam cup. ^^

Mathematically, it's called a frustum of a cone or truncated cone.

...it is called:

a frustum of a cone

here is a link:

https://www.google.com/search?q=frustum+…

qed

cylindrical prism

something you drink from...?

Frustrum of a cone

a cup?