Cone Calculator

Calculations at a right circular cone. The slant height is the distance between tip and base edge, the lateral surface is the surface without the base. The opening angle is the angle at the tip, the base angle is the angle between slant line and base.
Enter radius and height and choose the number of decimal places. Then click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units. For the calculation of general cones see general pyramid.

	Base radius (r):			Base: circle Slice plane: isosceles triangle
	Height (h):
	Slant length (s):
	Lateral surface (L):
	Surface area (A):
	Volume (V):
	Opening angle α:
	Base angle β:
	Surface-to-volume ratio (A/V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Radius, height and length have the same unit (e.g. meter), surfaces have this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit ^-1.

The right circular cone has infinitely many planes of symmetry, all of which pass through its central axis. It is rotationally symmetrical to any rotation about the central axis. If you cut off the tip, you get a truncated cone and another, smaller cone. Other cones include the oblique circular cone, the elliptical cone, and the general cone. When cutting through a cone, different curves result depending on the cutting surface. The conic sections are the circle for a straight section, an ellipse if the inclination angle of the cutting plane is smaller than that of the base angle, a parabolic segment if these two angles are equal and a hyperbolic segment if the inclination angle of the cutting plane is greater than that of the base angle. The conic sections were already treated in detail in ancient Greece.

Last updated on 03/30/2026. Author: Jürgen Kummer

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