Patients undergo external beam radiotherapy (EBRT) once daily 5 days a week for 5 weeks. On 1 day of each week, patients also receive cisplatin IV over 3 hours and hyperthermia over 90 minutes beginning 1-6 hours after completion of EBRT. During week 6, patients receive hyperthermia and cisplatin on the day before the 1 day of intracavity radiotherapy. Treatment continues in the absence of unacceptable toxicity.