No it's definitely not reasonable for it to have failed in that time! It's worth asking Volvo for some goodwill gesture, even if they don't pay for all of the work they may contribute a fair amount towards it.
If you've had the car serviced by volvo main dealers since new then Volvo are often willing to pay 100% of the cost if it's only just outside of warranty. They did on mine. Give them a call
