Cone volume is one third of a cylinder with the same base radius and height. The formula multiplies the circular base area by height, then divides by three.
⚠Radius and vertical height must be positive and use the same unit. Slant height is calculated separately from the vertical height.
How Cone Volume Works
A cone tapers from a circular base to one point. Because its cross sections shrink toward the tip, its volume is one third of the matching cylinder.
Radius
The distance from base center to base edge.
Height
The vertical distance from base to tip.
Slant Height
The diagonal side length of the cone.
One Third Factor
A cone is one third of a comparable cylinder.
💡 Example: For r=4 and h=9, V=(1/3)π(4²)(9)=150.796 cubic units.
Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.