Enter any two of the three values (radius, height and volume) using consistent units, then click calculate to get the missing one.
A right circular cone is a solid with a circular base and a single apex above the base. Its key dimensions are the base radius r and vertical height h.
If r is the base radius and h is the height, the volume of a cone is given by V = 1/3 · π · r² · h. This calculator uses that formula to convert between radius, height and volume.
When radius and height are known, volume is computed from V = 1/3 · π · r² · h. When volume and one dimension are known, you can invert the formulas r = √(3V / (πh)) or h = 3V / (πr²) to find the missing value. As long as you keep units consistent, the result has clear physical meaning.
All inputs must be greater than 0. If the volume looks far too large or small compared with r²h, it may indicate unit mismatch or input errors.
V = 1/3 · π · r² · h.
Volume is proportional to height, so it doubles as well.
Volume is proportional to r², so doubling radius makes volume four times larger.
V = 1/3 · π · 3² · 6 = 18π, approximately 56.5 when π ≈ 3.1416.
Because volume combines area and height into cubic units; inconsistent units make the result physically meaningless.
In conical hoppers, funnels, piles of material approximated as cones, traffic cones and various design problems.
That does not represent a real cone, and this tool will report that the value must be greater than zero.
The cone's volume is exactly one third of the cylinder's volume.
First compute the container's volume, then multiply or convert according to material density to estimate mass or quantity.
It quickly evaluates many combinations of radius and height, reduces arithmetic mistakes and speeds up learning and engineering work.
This tool lets you switch between “given radius and height, find volume” and “given volume plus one dimension, solve for the other”, useful for geometry, hoppers and containers.
Scan the QR code to use this tool on mobile.