does anyone actually know how thick a bear skull is at the 4" circular window of opportunity?

Might have to test this with these guns...maybe using steel. Looks like avg bone density is 1500 kg/m3 and steel is around 8000 kg/m3 so about 5.3x more dense.

an inch of skull would = .18" of steel that doesn't seem right I doubt much of anything could get through that steel. So either my math is off or the skull thickness is less than an inch.