This is another strange case. Normally, a grammar book would say that we should normally use "any-", and we can use "some-" when we want to emphasize or expect "yes" as as answer. But in this case, I think that "Would somebody like another cup of tea?" sounds weird.
– Damkerng T.Dec 09 '13 at 14:35
2
@DamkerngT. To me, "Would somebody like another cup of tea?" sounds it's asking an unspecified person to volunteer for the task of drinking more tea.
– Dec 09 '13 at 16:22
@snailboat Ahh, thanks. Now I can think of such scenes where there are nice young ladies trying to convince the passers-by in supermarket to taste the tea from their company.
– Damkerng T.Dec 09 '13 at 16:49