A valve (10, 110, 210, 210', 310, 410, 410', 610, 710, 810) for dispensing flowable product from a container, the valve (10, 110, 210, 210', 310, 410, 410', 610, 710, 810) comprising: a stem including a stem body defining a passage therein, and a disc at a lower portion of the stem body; a seal attached to the stem body, the seal including a neck surrounding at least a longitudinal portion of the stem body, and an external seal bead extending laterally outward from the neck; a mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) configured to mount the valve (10, 110, 210, 210', 310, 410, 410', 610, 710, 810) to the container, the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) including an annular sidewall having upper and lower ends and defining a central axis (A, A', A1, A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814), a bottom wall (24, 124, 224, 324, 424, 624, 724, 824) extending radially inward from adjacent the lower end of the sidewall toward the central axis (A, A1, A', A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814), an annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866) interposed between the lower end of the sidewall and an outer peripheral edge of the bottom wall (24, 124, 224, 324, 424, 624, 724, 824), the annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866) having a radius, wherein the bottom wall (24, 124, 224, 324, 424, 624, 724, 824) has a central portion (26, 26') defining a seal-mounting opening (28, 28') through which the seal and the stem extend, the external seal bead overlying an upper end of the central portion (26, 26'), characterized in that the upper end of the central portion (26, 26') is disposed at or below a location that is about 0.040 in (1.016 mm) above an imaginary line (L1, L1', L2, L3, L4, L5, L6) perpendicular to the central axis (A, A1, A', A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) and tangent to a lower portion of an imaginary circle (C1, C1', C2, C3, C4, C6) defined by the radius of the annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866). a stem including a stem body defining a passage therein, and a disc at a lower portion of the stem body; a seal attached to the stem body, the seal including a neck surrounding at least a longitudinal portion of the stem body, and an external seal bead extending laterally outward from the neck; a mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) configured to mount the valve (10, 110, 210, 210', 310, 410, 410', 610, 710, 810) to the container, the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) including an annular sidewall having upper and lower ends and defining a central axis (A, A', A1, A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814), a bottom wall (24, 124, 224, 324, 424, 624, 724, 824) extending radially inward from adjacent the lower end of the sidewall toward the central axis (A, A1, A', A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814), an annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866) interposed between the lower end of the sidewall and an outer peripheral edge of the bottom wall (24, 124, 224, 324, 424, 624, 724, 824), the annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866) having a radius, wherein the bottom wall (24, 124, 224, 324, 424, 624, 724, 824) has a central portion (26, 26') defining a seal-mounting opening (28, 28') through which the seal and the stem extend, the external seal bead overlying an upper end of the central portion (26, 26'), characterized in that the upper end of the central portion (26, 26') is disposed at or below a location that is about 0.040 in (1.016 mm) above an imaginary line (L1, L1', L2, L3, L4, L5, L6) perpendicular to the central axis (A, A1, A', A2, A3, A4, A5) of the mounting cup (14, 14', 114, 214, 314, 414, 614, 714, 814) and tangent to a lower portion of an imaginary circle (C1, C1', C2, C3, C4, C6) defined by the radius of the annular sidewall-bottom transition portion (66, 266, 366, 466, 666, 766, 866).