Geometry
Volume of a cone
The cylinder formula divided by three. Radius and height must be in the same unit.
The Formula
V = pi x r^2 x h / 3
The cylinder formula divided by three. Radius and height must be in the same unit.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| V | Volume | cubic metres | Space enclosed by the cone. |
| r | Radius | metres | Half the diameter of the circular base. |
| h | Perpendicular height | metres | Base centre to apex, measured straight up. |
What Each Symbol Means
Vcubic metres
Volume
Space enclosed by the cone.
rmetres
Radius
Half the diameter of the circular base.
hmetres
Perpendicular height
Base centre to apex, measured straight up.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate the volume of a cone page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate The Volume Of A Cone, filed under Math. Every number the guide produces comes from substituting into this one line.