Modular-system-optimized pneumatic brake booster

A pneumatic brake booster having a vacuum chamber and a working chamber in a booster housing separated from one another by an elastic diaphragm. The diaphragm bears in regions against a diaphragm plate axially displaceable between a zero position and a maximum stroke. An axial spacing between the zero position and the maximum stroke defines a stroke range of the brake booster. The diaphragm has a rolling fold which, during the displacement of the diaphragm plate, rolls on a rolling region on an inner wall of the booster housing. In order to offer a solution in which it is the intention for a modular system for different stroke ranges to be formed more efficiently and for the efficiency loss to be minimized or avoided, the booster housing has, in the rolling region, a tapered, conical portion with a cone angle ≥8° and an axial extent >⅓*stroke range.