This subject currently has no proper strategy associated with it. If you have figured out a good strategy, please add it or the zombies will eat your brains!
They can be tough nuts to crack.
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Conehead Zombie is a zombie in Plants vs. Zombies: All Stars. He has higher health than normal zombies. His skill is to take the cone, put it on the ground and sit behind it so it can block damage. It has lower health than Bucketheads, though.