Yes it's a dead battery. Try to get a battery for your laptop online which has more cells.
For my laptop I would search for a 12 cell battery. More expensive but will last a lot longer. It might be so bulky that it raises the backend of the laptop - which is a bonus for cooling.
Searching for my Pavilion G6 I get this, link , but I would search further just in case you find a better offer with same guarantee. Good luck.