Cone Calculator
Enter a cone’s base radius and height to find its volume, slant height and surface area.
units
units
8.544
108.7997
Formula
Examples
| Input | Result |
|---|---|
| radius = 3, height = 8 | Volume ≈ 75.3982, Slant ≈ 8.5440, Surface ≈ 108.8228 |
About this calculator
A right circular cone tapers smoothly from a flat circular base to a single apex directly above the center. Its volume is exactly one third of a cylinder with the same base and height, which is why the formula carries the 1⁄3 factor.
The slant height is the straight-line distance from the apex to the edge of the base, found with the Pythagorean theorem from the radius and vertical height. The total surface area adds the circular base (πr²) to the curved lateral surface (πr × slant).
Frequently asked questions
Three identical cones exactly fill a cylinder with the same base radius and height, so a single cone’s volume is 1⁄3 × π × r² × h.
Slant height is the distance from the apex to the base edge along the surface. It equals √(r² + h²), the hypotenuse of the radius and vertical height.
The total surface area here includes the circular base. If you only need the curved part (for a paper cone), use just π × r × slant.
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