Depends on how dead you want it. Just dead, really dead, poleaxed or blown to smithereens. Any modern expanding bullet with a terminal velocity of at least 1800fps, and at least .24 caliber, properly placed will make any black bear on the planet at least just dead. Your bullet selection might be marginal for really dead, and is inadequate for poleaxed. For the last option you will need either a mortar, rocket launcher, or call in an airstrike.
Last year I was hunting bear with a .30/06 loaded with 165 grain Federal Premium Trophy Bonded Bear Claw bullets. I passed on a 30 yard shot in the dogwoods at an indeterminate 12" patch of black hair. For that opportunity, a .460 Weatherby wasn't enough gun.