Math

Cone Volume Calculator

Volume and surface area of a cone.

Enter your values

Results update instantly as you type — no submit needed.

Results
Volume
314.1593
Slant height
13
Lateral surface area
204.2035
Total surface area
282.7433
Base area
78.5398

Quick answer

A cone's volume is one third of the cylinder that contains it: V = ⅓πr²h.

V = (1/3)πr²h

How to use the Cone Volume Calculator

  1. 1Enter the base radius.
  2. 2Enter the vertical height (not slant).
  3. 3Read volume and surface areas.

Frequently asked questions

What is slant height?

The distance from the rim to the apex along the surface, √(r² + h²).

Why divide by 3?

A cone fills exactly one third of the cylinder with the same base and height.