That was hilarious. Also kinda spooky to think that, if Japan hadn't surrendered, Demon Core-kun would have been the 3rd nuke dropped over them.
The cartoon only covers the second story arc though, the one with the screwdriver.
In the first arc, the core is "nude" and they're stacking neutron-reflecting bricks around it to bring it close to criticality. A scientist drops a brick by accident on top of the core and boom, blue light and you're dead (takes 2 weeks for your body to notice though).