A disposable servingware container 10 press-formed from a generally planar paperboard blank has a characteristic diameter, D, and includes a bottom panel 12 having an arched central crown 14 with a convex upper surface 14a, a first annular transition portion 16 extending upwardly and outwardly from the bottom panel, with the proviso that a portion of the arched central crown defines a substantially continuous, convex arched profile 18 spanning at least 75% of the horizontal distance between center 20 of the container and the first annular transition. An optional sidewall portion 26 extends upwardly and outwardly from the first annular transition portion, while a second annular transition portion 28 flares outwardly with respect to the first annular transition portion defining a second radius of curvature, R2. The ratio of R2/D is 0.0125 or less. An outer flange portion 32 extends outwardly with respect to the second annular transition portion and forms the outer perimeter of the container.