Is it possible to get out of the radioactive waste pits in DOOM E1M3?

Solution 1:

For the first area:

Nope, you're dead if you fall.

For the second area:

If you fall into the center, then yes, you can get out. There is a switch at the bottom you can hit to raise the whole platform. IIRC, it also has a large health pack in the center of it.

If you fall off into the sides however, there is no way to get out other than death.