Oct 30 - European shares rise, extending a rally into a third day, as investors bet on lower global interest rates. Germany's DAX, France's CAC40 and Britain's FTSE 100 were all higher, tracking sharp rises in Asian markets, as commodity prices gained and the yen weakened after the U.S. Federal Reserve cut interest rates by a half-percentage point. But a trader warned that markets remain volatile despite the recent rally, and recession fears remain. Joanna Partridge reports for Reuters. No videos currently selected. Click on any video below, from any channel, to add it to your playlist.