Cone Calculator

Find cone volume, slant height, lateral and total surface area from radius and height, in any length unit.

100% FreeNo sign-upPrivate — runs in your browser
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Result

Volume
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Slant height
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Lateral surface area
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Total surface area
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Base area
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How to use this tool

1
Enter the radius

Enter the radius of the circular base.

2
Enter the height

Enter the vertical height from base to apex.

3
Choose the unit

Pick the length unit for the labels.

4
Read volume and areas

Read volume, slant height, lateral area, total area and base area.

Formula & worked example

Slant height s = √(r² + h²). Volume = (1/3)π r² h. Lateral area = π r s. Total area = π r s + π r². Base area = π r².

A cone of radius 3 cm and height 4 cm has slant height 5 cm, volume 37.6991 cm³ and total surface area 75.3982 cm².

Limitations — read this before you rely on it

Right circular cones only; oblique cones and frustums (truncated cones) are not covered.

Frequently asked questions

The distance from the apex to a point on the base rim, found by Pythagoras: √(radius² + height²).

Volume = (1/3)π r² h, one third of the cylinder with the same base and height.

The curved side area only, π r s, excluding the base.

Lateral area plus the base circle: π r s + π r².

No. It labels the result in your unit; convert radius and height yourself if you need a different unit.