A method of manufacturing a component from a metal sheet having an at least sectionally curved or linearly conical region, from a cup-shaped blank having a substantially cylindrical wall portion, wherein the method comprises at least the following steps: a step drawing, in which the cylindrical edge section of the blank is formed, at least in sections, between a drawing die and a drawing punch displaceably guided in a fold holder, into a stepped region with two cylinder sections (12, 13) a first cylinder section with a substantially axially extending circumferential wall with a first radius and a second cylinder section following along a component axis with a substantially axially or conically converging circumferential wall with a second radius which is smaller than the first radius, the first and second cylinder sections being circumferentially connected via a transition section of the stepped region, which transition section extends substantially radially or is more conically convergent than the second cylinder section and wherein the first cylinder section in the stepped section is guided internally at least in regions by the fold holder and is clamped between the fold holder and the drawing die and the second cylinder section is formed by the drawing die; at least one subsequent cone pull, in which at least the transition section and the second cylinder section of the stepped region are formed into the curved or linearly conical component section between two tools, the two tools being formed at least by a cone pull drawing die and a cone pull drawing punch displaceably guided in a cone pull centering sleeve, and wherein the first cylinder section is guided internally in the taper at least in regions by the taper centering sleeve or is clamped and/or guided between the taper centering sleeve and the taper drawing die, and the transition section and the second cylinder section and the transition section between the taper drawing die and the taper drawing die are transformed characterized in that the blank is made of aluminum or an aluminum alloy having a tensile strength in the range of 80-120 MPa and a thickness in the range of 0.08-0.2 mm, or of iron or an iron alloy having a tensile strength of at least 500 MPa and a thickness in the range of 0.25-0.34 mm, in that the at least sectionally curved or linearly conical region has an average angle in the range of 8-12° with the axis of symmetry of the component; in that the ratio of radius of the first cylinder section to the radius of the second cylinder section is in the range of 1.5:1-1.3:1; in that the ratio of the radius of the first cylinder section to the bottom radius of the second cylinder section is in the range of 1.9:1-1.5:1; and that the ratio of the axial length of the first cylinder section to the axial length of the second cylinder section is in the range of 2.5:1-1:1. a step drawing, in which the cylindrical edge section of the blank is formed, at least in sections, between a drawing die and a drawing punch displaceably guided in a fold holder, into a stepped region with two cylinder sections (12, 13) a first cylinder section with a substantially axially extending circumferential wall with a first radius and a second cylinder section following along a component axis with a substantially axially or conically converging circumferential wall with a second radius which is smaller than the first radius, the first and second cylinder sections being circumferentially connected via a transition section of the stepped region, which transition section extends substantially radially or is more conically convergent than the second cylinder section and wherein the first cylinder section in the stepped section is guided internally at least in regions by the fold holder and is clamped between the fold holder and the drawing die and the second cylinder section is formed by the drawing die; at least one subsequent cone pull, in which at least the transition section and the second cylinder section of the stepped region are formed into the curved or linearly conical component section between two tools, the two tools being formed at least by a cone pull drawing die and a cone pull drawing punch displaceably guided in a cone pull centering sleeve, and wherein the first cylinder section is guided internally in the taper at least in regions by the taper centering sleeve or is clamped and/or guided between the taper centering sleeve and the taper drawing die, and the transition section and the second cylinder section and the transition section between the taper drawing die and the taper drawing die are transformed characterized in that the blank is made of aluminum or an aluminum alloy having a tensile strength in the range of 80-120 MPa and a thickness in the range of 0.08-0.2 mm, or of iron or an iron alloy having a tensile strength of at least 500 MPa and a thickness in the range of 0.25-0.34 mm, in that the at least sectionally curved or linearly conical region has an average angle in the range of 8-12° with the axis of symmetry of the component; in that the ratio of radius of the first cylinder section to the radius of the second cylinder section is in the range of 1.5:1-1.3:1; in that the ratio of the radius of the first cylinder section to the bottom radius of the second cylinder section is in the range of 1.9:1-1.5:1; and that the ratio of the axial length of the first cylinder section to the axial length of the second cylinder section is in the range of 2.5:1-1:1.