A filling for a molar because it has a sharp edge?

[Danzig Herzog]

Hi all.
I just wanted to double check if this sounded like familiar procedure to anyone... My dentist told me that he wants to fill 2 of my molars (which means drilling them) because the top outside edge of the tooth/teeth seemed sharp. The teeth both look healthy to my eye, although I have felt the sharpness with my tongue.
Has anybody had a similar experience? I feel wierd about paying to have teeth which look healthy drilled away.
thanks