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Cone Volume Calculator

37.6991
cubic units (volume)
5
Slant height
75.3982
Surface area

Calculate the volume of a cone from its base radius and vertical height. A cone holds exactly one third of the cylinder that shares its base and height, so the volume is one third times pi times the radius squared times the height. For a radius of 3 and a height of 4, the volume is about 37.7 cubic units. This calculator also computes the slant height, which is the straight distance from the base edge up to the tip found with the Pythagorean theorem, and the total surface area that adds the circular base to the curved side. Cones describe ice cream cones, funnels, party hats, traffic cones and piles of sand. Enter the radius and height in a common unit and the volume returns in that unit cubed while surface area is in the unit squared. All of the geometry runs locally in your browser at full precision, and the volume copies with a single click.

How to use Cone Volume Calculator

  1. Enter the radius.
  2. Enter the height.
  3. Read the volume, slant height and surface area.

Frequently asked questions

How is the volume of a cone found?

The volume is one third of pi times the radius squared times the height, a third of the matching cylinder.

What is the slant height?

The slant height runs from the tip down to the edge of the base and equals the square root of the radius squared plus the height squared.

How is the surface area found?

It sums the circular base and the curved side, using the slant height for the sloped surface.

What is Cone Volume Calculator?

Calculate the volume of a cone from its base radius and vertical height. A cone holds exactly one third of the cylinder that shares its base and height, so the volume is one third times pi times the radius squared times the height.

Is Cone Volume Calculator free to use?

Yes. Cone Volume Calculator is completely free, with no sign-up and no usage limits.

Does Cone Volume Calculator work in a web browser?

Yes. Cone Volume Calculator runs in any modern web browser. There is nothing to download or install.

Is my data private with Cone Volume Calculator?

Yes. Cone Volume Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.