A couple of comparison pictures of popular 1s LiPo’s for micro helicopters.

Hobby King's Nine Eagles 120, Hyperions 130 for Nine Eagles, Hyperion 160, Turnigy 160, Turnigy Nano-Tech 160, Thunder Power 160, E-Flite 120
Here’s the relative heights. The Nano-Tech is not puffy. They all look like that for some reason, and as you can see…are thicker than the other 1s cells.