My strategy is to first find all the potential and kinetic energy of particles A and B, then C. then using the principle of conservation of energy to find V.
I would assume that the particle would be at the center suspended above, and as for equations theres: Φ=EA, Φ=EAcosΘ, for flat surfaces theres σ/2e0, E=λ/2πe0r, and I forgot the electric flux for a closed.
I believe this does has a couple of Calculus aspects to it but I don't really know how I'd find the surface area of inside the bowl.
The answer sheet says the answer is 252 with a margin of error of +/- 1