Hi.. ur broken tooth that is painful with cool water etc needs a dental check up and probably a Root canal treatment..

Visit dentist fr evaluation

Kindly visit your dentist for complete picture of your mouth.

If it is broken for 60 percent then better get it extracted

Any teeth with cavity requires filling, but the ones which are associated with symptoms also will require root canal treatment. You should not delay this treatment until Irreversible damage occurs to the tooth and extraction is your only option left. You are too young to be losing a tooth to Cavitation. Medications are not going to provide cure to this problem but only temporary symptomatic relief, so you should plan a visit to the dentist as soon as possible. Regards.