What is a cone frustum?
A cone with its tip cut off by a plane parallel to the base.
Frustum of a Cone Volume Calculator
Compute truncated-cone volume from R, r, and height h.
Enter radii and height
Provide R ≥ 0, r ≥ 0 (not both zero) and h > 0.
About this calculator
How to use Frustum of a Cone Volume Calculator, plus the formulas and logic behind the results.
Tool description
A conical frustum is the solid between two parallel circular cross-sections of a cone.
How to use
- Enter the larger and smaller radii (order can be either way).
- Enter the perpendicular height.
- Select Calculate.
- Read the volume.
Formulas & reference
V = (1/3) π h (R² + R r + r²)
Cone frustum tips
- r = 0 → ordinary cone
- R = r → cylinder volume πR²h
- Height is perpendicular
- Slant height is not required for volume
Calculation logic
Uses M_PI with the standard cone-frustum volume formula after validating dimensions.
If r = 0, the formula becomes a full cone volume (1/3)πR²h.
Frustum of a Cone Volume Calculator FAQ
Common questions about this calculator and how to use the results.
What is the volume formula?
V = (1/3)πh(R² + Rr + r²).
Does R need to be larger than r?
Not required; the formula is symmetric in R and r.
What if one radius is zero?
You get a full cone volume.
What if radii are equal?
You get a cylinder.
Is lateral area included?
No—this tool computes volume only.