To get it out you had about 20 more screws to pull, to remove the monitor, keyboard, and top plate, then pull the mainboard and finally... get the drive.
I think that's the Dell N5110 model (Intel 2nd gen). Now that they're about 8 years old, a faulty drive and it's a write-off (has been the case for the last few years).
If there's a newer model with the same issue, I'd like to know what it is!
@fincoder, I think you're right! But I'm certain my unit was at least a 3rd gen because it didn't get as hot as the 2nds do. The unit I ran across was definitely from this family though, the resemblance is too close to be anything else.