Conical Frustum
Calculate a conical frustum from two circular radii and vertical height.
Your numbers
Physical volume
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
Up to three snapshots in this tab. Loading one replaces the current inputs.
Formula
V=πh(R²+Rr+r²)/3; S=π(R²+r²+(R+r)l)
Calculate a conical frustum from two circular radii and vertical height.
Worked example
- Larger radius (m)
- 3
- Smaller radius (m)
- 1
- Height (m)
- 4
- Physical volume
- 54.4542726622 m³
- Slant height
- 4.472135955 m
- Total surface
- 87.6144443842 m²
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 113c11202ecb · Example checked: