🔺 Volume of a Cone Calculator

Cone Measurements

Cone Formulas

A cone is a 3D shape with a circular base tapering to a point (apex). Volume of a cone is exactly 1/3 of the volume of a cylinder with the same base and height.

Volume = (1/3) × π × r² × h
Slant Height l = √(r² + h²)
Lateral Surface Area = π × r × l
Total Surface Area = πrl + πr²

Frequently Asked Questions

What is the volume of a cone with radius 4 and height 9? ▼
V = (1/3) × π × 4² × 9 = (1/3) × π × 144 = 48π ≈ 150.80 cubic units.
How is a cone's volume related to a cylinder? ▼
A cone's volume is exactly 1/3 of a cylinder with the same base radius and height. V_cone = (1/3) × V_cylinder.
What is the slant height of a cone? ▼
Slant height (l) is the distance from the apex to any point on the edge of the base: l = √(r² + h²) by Pythagorean theorem.