Cone Volume Calculator
Volume and surface area of a cone.
Enter your values
Enter the radius you are working with.
Enter the height you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Volume
- 314.1593
- Slant height
- 13
- Lateral surface area
- 204.2035
- Total surface area
- 282.7433
- Base area
- 78.5398
Quick answer
A cone's volume is one third of the cylinder that contains it: V = ⅓πr²h.
V = (1/3)πr²h
At a glance
| What it does | Volume and surface area of a cone. |
|---|---|
| Category | Math |
| Inputs needed | Radius, Height |
| Main output | Volume |
| Formula | V = (1/3)πr²h |
| Cost | Free — no sign-up, no download |
How to use the Cone Volume Calculator
- 1Enter the base radius.
- 2Enter the vertical height (not slant).
- 3Read volume and surface areas.
Inputs explained
- Radius
- Enter the radius you are working with.
- Height
- Enter the height you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Radius5
- Height12
Results
- Volume314.1593
- Slant height13
- Lateral surface area204.2035
- Total surface area282.7433
- Base area78.5398
Frequently asked questions
What is slant height?
The distance from the rim to the apex along the surface, √(r² + h²).
Why divide by 3?
A cone fills exactly one third of the cylinder with the same base and height.
What do I need to enter into the Cone Volume Calculator?
Just 2 values: radius, height. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Cone Volume Calculator work out the answer?
A cone's volume is one third of the cylinder that contains it: V = ⅓πr²h. It applies the formula V = (1/3)πr²h and shows the working so you can check each step by hand.
Is the Cone Volume Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.