How long can a coackroach live withouts its head
What can it do
How active is it
Does it perfprm its ordinary activities ?
Does it eat drink..

A cockroach can live a week without its head. The roach only dies because without a mouth, it can't drink water and dies of thirst.

Roaches can live without food for a month, but will only survive a week without water.

http://www.sciam.com/article.cfm?id=fact-or-fiction-cockroach-can-live-without-head&ec=ypi