CALCULATOR
Truncated Cone Volume Calculator
truncated cone volume. Example: Radius a: 2 m, Radius b: 2 m, Height: 2 m gives 25.1327412287 m³. Circular frustum between parallel bases; perpendicular height; either radius order allowed, equal radii give a cylinder. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not ch
Circular frustum between parallel bases; perpendicular height; either radius order allowed, equal radii give a cylinder. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Integrate π times the square of linearly interpolated radius over perpendicular height.
Accepted inputs: Radius a: 0.001 to 1,000 m; Radius b: 0.001 to 1,000 m; Height: 0.001 to 1,000 m.
How the calculation works
V = πh(R²+Rr+r²)/3
Worked example
With radius a 2 m, radius b 2 m, height 2 m, truncated cone volume is 25.13274123 m³.
Assumptions and limits
Circular frustum between parallel bases; perpendicular height; either radius order allowed, equal radii give a cylinder. Flat Euclidean geometry in the stated units. No waste, thickness, structural advice or curved-earth inference. Only the stated forward job is supported; display rounding does not change the calculation. Derivation: Integrate π times the square of linearly interpolated radius over perpendicular height.