PARAMETRIC · 3D · STEP / STL / 3MF
ConeCONE
Generate a pointed cone or frustum from base, top diameter and height, with volume and slant. STEP, STL, 3MF.
- TypeCone / frustum
- SpecsSlant · half-angle
- OutputSTEP · STL · 3MF · DXF
LIVE · CONE
⌀30 × 30
SCALE 1:1 · mm
Drag to rotate · scroll to zoom · right-drag to pan
CALCULATED · SPEC
AUTO-COMPUTED
V
7068.6mm³
Volume
s
33.54mm
Slant height
AL
1580.6mm²
Lateral area
A
2287.4mm²
Total surface
θ
26.57°
Half-angle
HOW-TO
How to generate a cone STEP / STL file
- 1Enter the base diameter and height.
- 2For a frustum (funnel, cup holder) enter a top diameter; 0 makes a point.
- 3Check the spec cards and any warnings.
- 4Download STEP, STL or 3MF — or send it to Orinovate for a quote.
Cones and frustums
A cone joins a circular base to an apex; cut the tip off and you get a frustum. They appear as funnels, lamp shades, locating pins, countersink tools and decorative parts. The surface here is an exact revolved cone.
Formulas
Slant s = √((R − r)² + h²); volume V = πh(R² + Rr + r²)/3; lateral area AL = π(R + r)s; total A = AL + π(R² + r²); half-angle θ = atan((R − r)/h).
Specs at default parameters
| Parameter | Value | Range |
|---|---|---|
| Base diameter (D) | 30 mm | 0.5–1000 |
| Top diameter (d) | 0 mm | 0–1000 |
| Height (H) | 30 mm | 0.5–1000 |
| Volume (V) | 7068.6 mm³ | — |
| Slant height (s) | 33.54 mm | — |
| Lateral area (AL) | 1580.6 mm² | — |
| Total surface (A) | 2287.4 mm² | — |
| Half-angle (θ) | 26.57 ° | — |
FAQ
What is the frustum volume formula?
V = π·h/3·(R² + R·r + r²) with base and top radii R, r. With r = 0 it reduces to the cone V = π·R²·h / 3 — exactly one third of the cylinder with the same base and height.
What cone angles print without supports?
FDM handles overhangs up to about 45°. A cone that narrows upward never overhangs; an inverted cone (top wider than base) needs supports once the half-angle exceeds 45°.
How do I make a funnel or a countersink?
Generate the frustum, then shell it in CAD or subtract a slightly smaller frustum. For a countersink, use the frustum directly as the cutting tool.
Which software opens the cone STEP file?
STEP (AP214) opens in Fusion 360, SolidWorks, FreeCAD, Onshape and Rhino. STL / 3MF import directly into Bambu Studio, PrusaSlicer or Cura.
Is it free?
Yes — no sign-up, no fees. Need a physical part? Send it to Orinovate for an instant quote in FDM, SLA, SLS, MJF or CNC.
Related generators
Need a physical part?
Send the model straight to Orinovate's instant quote: FDM, SLA, SLS, MJF, metal printing and CNC, made in Hsinchu, Taiwan.
About STEP / STL / 3MF / DXF
- STEP (.step / .stp, AP214) keeps exact dimensions and surfaces for editing in Fusion 360, SolidWorks or FreeCAD.
- STL and 3MF are triangle meshes that import directly into Bambu Studio, PrusaSlicer or Cura.
- DXF is the top-view 2D outline, ready for laser cutting, waterjet or CNC routing.
- All models are in millimetres at true scale.