Cone Volume Calculator
Calculate the volume of a cone from its radius and height.
The space inside a cone
A cone's volume is found from its base radius and its height. This calculates it, useful for anything cone-shaped, from an ice cream cone to a funnel to a pile of sand.
Enter the radius and height to find the cone's volume.
Exactly a third of its cylinder
There is a lovely fact hidden in the cone volume formula: a cone has exactly one third the volume of the cylinder with the same base and height. This is not a coincidence but a deep geometric truth — you could fill a cylinder by pouring in three cones' worth, a satisfying thing to picture. The same one-third relationship holds between any pyramid and the prism sharing its base and height, so it is a general principle about how shapes that taper to a point relate to the straight-sided shapes containing them. This makes the cone's volume easy to remember and understand rather than memorise: it is a third of the base area times the height, just like a pyramid. That tapering shapes are exactly a third of their containing shape is one of geometry's neat surprises.
Cone Volume Calculator FAQ
How does a cone's volume compare to a cylinder's?
A cone is exactly one third of the volume of the cylinder with the same base and height — three cones' worth fills the cylinder.
Does that one-third rule apply to other shapes?
Yes — any pyramid is one third of the prism sharing its base and height, a general principle for shapes that taper to a point.
Is anything uploaded?
No. The calculation happens in your browser.