One problem related to fuel pump has been reported for the 2004 Volvo V70. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2004 Volvo V70 based on all problems reported for the 2004 V70.
The fuel pump in my 2004 Volvo xc70 failed, causing gas to leak from the vehicle. I understand from a nyt article that there are several complaints into NHTSA regarding a similar condition in the 2004 xc90. The leaking pump was repaired by a Volvo dealer at considerable ($1300) cost.