CALCULATOR
Right Circular Height of a Cone Calculator
Find right-cone perpendicular height from volume and radius. Example: Volume: 12 m³, Radius: 2 m gives 2.86478897565 m. Right circular cone; radius, not diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only.
Right circular cone; radius, not diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Solve V=πr²h/3 for h.
Accepted inputs: Volume: 0.001 to 100,000,000 m³; Radius: 0.001 to 1,000 m.
right-cone perpendicular height from volume and radius
How the calculation works
height = 3V/(πr²)
Worked example
With volume 12 m³, radius 2 m, right-cone perpendicular height from volume and radius is 2.864788976 m.
Assumptions and limits
Right circular cone; radius, not diameter. Flat Euclidean shape; stated measurements in displayed units. No waste, thickness, structural suitability or curved-earth claim. Floating point rounding is display only. Derivation: Solve V=πr²h/3 for h.