Technically, a cone with the point lopped off of it is termed a 'frustum'. This knowledge stems only from a project I had to about geometric three-dimensional objects from Honors Geometry in approximately 1995. I could be wrong.
My mutt is a beagle/basset hound mix with short legs and a long body, just like you've heard. Thankfully, she doesn't have the droopy face, but rather the beagle face which is too cute.