Comment The issue is that it does not do hot air (Score 1) 120
Otherwise if you don't those 100kW would be dumped into very small surface of the GPU/CPU and small radiator they usually have.
At 300K blackbody radiance is ~450 W.m^-2 So you r calculation of the surface of the cylinder is OK, you would only need 222 m^2 to dissipate a blackbody at 300K of 100kW of heat. The problem is that the heat is not dumped into the cylinder directly, but would need to be conducted from the cpu/gpu radiator to the cylinder . And that's where the problem starts, as you would need almost certainly a liquid for the transport, and that brings a lot of issue itself (weight, pump failure, freezing/boiling etc...). And that's not even counting servicing & obsolescence.
IMO the feasability of this is near null zero enough to be disregarded as a tech bro stupid solution in wait of a problem.
much MUCH easier solution is to have the server on earth, in zone where you have a lot of renewable like solar, wind. easier to maintain , cool, and give energy.