A suppressor for a firearm uses a container tube to house pluralities of first and second baffles having truncated cones. The baffles may be arranged so that all of their cones project toward the muzzle of the firearm, or so that the plurality of second baffles, located distal to the muzzle, project away from the muzzle. The baffles include blast baffles having spacer portions which project toward and away from the muzzle of the firearm.