Cone Volume Calculator
A cone holds one third of the cylinder with the same base and height. The slant height is the straight distance from apex to base rim.
Your numbers
Volume
314.16cm³
Slant height
13cm
Surface area
282.74cm²
Formula
Volume = π × Radius² × Height ÷ 3
It takes three ice-cream cones to fill one cylinder of the same size.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Radius (cm)Centre to edge — half the diameter. | 5 | 0 and up |
| Height (cm)The perpendicular height from the base — not the slanted side. | 12 | 0 and up |
Step by step
Quick reference table
Results when only Radius (cm) changes and everything else stays put.
| Radius (cm) | Volume (cm³) | Slant height (cm) | Surface area (cm²) |
|---|---|---|---|
| 2.5 | 78.54 | 12.26 | 115.91 |
| 3.75 | 176.71 | 12.57 | 192.29 |
| 5 | 314.16 | 13 | 282.74 |
| 7.5 | 706.86 | 14.15 | 510.14 |
| 10 | 1,256.64 | 15.62 | 804.89 |
What each result means
| Result | At default values |
|---|---|
| Volume (cm³)The space a solid holds — length cubed. | 314.16 |
| Slant height (cm)The sloped length from apex to base edge — longer than the height. | 13 |
| Surface area (cm²)The total area of a solid’s outer skin. | 282.74 |
Common mistakes
It takes three ice-cream cones to fill one cylinder of the same size.
Glossary
- Radius
- Centre to edge — half the diameter.
- Height
- The perpendicular height from the base — not the slanted side.
- Volume
- The space a solid holds — length cubed.
- Slant height
- The sloped length from apex to base edge — longer than the height.
- Surface area
- The total area of a solid’s outer skin.
Frequently asked questions
Q. How is Cone Volume Calculator calculated?
Volume = π × Radius² × Height ÷ 3 — A cone holds one third of the cylinder with the same base and height. The slant height is the straight distance from apex to base rim.
Q. Can you walk through an example?
With Radius 5cm, Height 12cm, the answer is Volume 314.16cm³.
Q. What do I need to enter?
Enter Radius, Height. The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Radius (cm) moves the answer to Radius (cm) 2.5 → Volume (cm³) 78.54 and Radius (cm) 10 → Volume (cm³) 1,256.64. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
It takes three ice-cream cones to fill one cylinder of the same size.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.