Mathematics · Geometry
Cone Volume Calculator
Calculate the volume and base area of a circular cone from radius and height.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- Square radius: 3² = 9.
- Base area = π × 9 = 28.274333882308138.
- Volume = 28.274333882308138 × 8 ÷ 3 = 75.39822368615503.
Definition and formula
A cone occupies one third of the volume of a cylinder with the same circular base and height.
V = πr²h ÷ 3
Worked example
A cone with radius 3 and height 8 has volume 24π, approximately 75.40 cubic units.
Common mistake
Remember to divide the cylinder expression πr²h by three.
How to learn with this calculator
Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.
Clear answers
Frequently asked questions
What does the Cone volume do?
Calculate the volume and base area of a circular cone from radius and height.
How does the Cone volume work?
The calculator applies V = πr²h ÷ 3. A cone occupies one third of the volume of a cylinder with the same circular base and height.
What can I learn from the Cone volume?
It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.
Last reviewed 2026-07-14. Calculations tested 2026-07-14.