Neutrino detection by inverse beta decay

emil2
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Hi,

I have the following question: Neutrinos can be detected by an inverse beta-decay. The probability for an interaction of a neutrino and a proton is 10^(-43). How large should be a detector filled with water in order to let interact one of 1 million neutrinos with a proton? What would be the mass of the filling of the detector?

I am not sure how to proceed. I know the number of protons in a water molecule but how can I get the dimensions of the detector from it? As for the mass filling?
Shouldn't there be additional information as for example the interaction length of neutrinos, I mean how far they fly before interacting/annealing etc.?

I would be grateful for every hint in the right direction.
Thanks
Emil
 
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