He places a 16x13 area of wool. This is 208 blocks, or 832 peices of string. Each cat drops 0-2 string on death so an average of one string per cat, ((0+2)/2 = 1). This would mean he would need to kill 832 cat. Each cat has 10 health. The total amount of health from the cats is 8320 (832*10 = 8320). So it would take 8320 hits to kill all of the cats.
Hmm technically You can't mine obsidian in the high sec cell because of the ban clock and the elder guardians But I'm counting it as valid and you can't stop me