Math
Cylinder
Calculate cylinder volume and surface area, or solve a missing radius, diameter, or height from volume.
Calculators / Math / Cone
Cone calculator
Calculate cone volume, slant height, lateral area, and closed surface area from radius and perpendicular height.
On this page
Volume37.7cubic units
Slant height5units
Lateral surface area47.12square units
Closed surface area75.4square units
Calculator controls
How to calculate
Calculate cone volume, slant height, lateral area, and closed surface area from radius and perpendicular height.
Volume = πr²h ÷ 3; slant height = √(r² + h²); lateral area = πrℓ; closed area = πr(r + ℓ).
Worked example
Example inputs
Radius: 3 · Perpendicular height: 4
Example resultVolume: 37.699112 cubic units · Slant height: 5 units · Lateral surface area: 47.12389 square units · Closed surface area: 75.398224 square units
Assumptions and limits
Use the perpendicular height from the centre of the circular base to the tip. All length inputs must use the same unit.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
For a right circular cone, slant height follows the Pythagorean theorem. Volume is one third of a cylinder with the same base and height.
When this tool is useful
Calculate a cone’s volume, slant height and surface area.
Understanding your inputs
| Input | What to enter |
|---|---|
| Radius | Enter a number of at least 0 and no more than 1000000000. |
| Perpendicular height | Enter a number of at least 0 and no more than 1000000000. |
Frequently asked questions
Is slant height the input height?
No. Input the perpendicular distance from the base centre to the tip. The tool calculates the slant height separately.