A container for flowable substances includes a rigid, concave lower part having an outlet and an upper part including of a convex flexible film that is mirror-inverted with respect to the inner contour of the lower part. The upper and lower parts may be in the shape of hemispheres. The upper part is surrounded by a housing body which is tightly connected with the lower part and may be connected to a pressure source for emptying the container. In the emptied condition of the container, the film lies flush at the inner contour of the lower part of the container. For emptying, air pressure is applied to the upper part of the container. The outlet is provided with a closure in the shape of a disc which is rotatable about an axis offset from the opening of the outlet and has a passage for inserting a dispensing nipple.