Sphere Volume Calculator
Volume is 4π/3 times the radius cubed; surface area is 4π times the radius squared. Of all shapes holding a given volume, the sphere has the least surface.
Your numbers
Volume
4,188.79cm³
Surface area
1,256.64cm²
Litres
4.189L
Formula
Volume = 4 ÷ 3 × π × Radius³
Double the radius and volume rises eightfold while surface only quadruples — which is why droplets are round.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Radius (cm)Centre to edge — half the diameter. | 10 | 0 and up |
Step by step
Quick reference table
Results when only Radius (cm) changes and everything else stays put.
| Radius (cm) | Volume (cm³) | Surface area (cm²) | Litres (L) |
|---|---|---|---|
| 5 | 523.6 | 314.16 | 0.524 |
| 7.5 | 1,767.15 | 706.86 | 1.767 |
| 10 | 4,188.79 | 1,256.64 | 4.189 |
| 15 | 14,137.17 | 2,827.43 | 14.137 |
| 20 | 33,510.32 | 5,026.55 | 33.51 |
What each result means
| Result | At default values |
|---|---|
| Volume (cm³)The space a solid holds — length cubed. | 4,188.79 |
| Surface area (cm²)The total area of a solid’s outer skin. | 1,256.64 |
| Litres (L)Capacity in litres; one litre is 1,000 cm³. | 4.189 |
Common mistakes
Double the radius and volume rises eightfold while surface only quadruples — which is why droplets are round.
Glossary
- Radius
- Centre to edge — half the diameter.
- Volume
- The space a solid holds — length cubed.
- Surface area
- The total area of a solid’s outer skin.
- Litres
- Capacity in litres; one litre is 1,000 cm³.
Frequently asked questions
Q. How is Sphere Volume Calculator calculated?
Volume = 4 ÷ 3 × π × Radius³ — Volume is 4π/3 times the radius cubed; surface area is 4π times the radius squared. Of all shapes holding a given volume, the sphere has the least surface.
Q. Can you walk through an example?
With Radius 10cm, the answer is Volume 4,188.79cm³.
Q. What do I need to enter?
Enter Radius. 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) 5 → Volume (cm³) 523.6 and Radius (cm) 20 → Volume (cm³) 33,510.32. 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?
Double the radius and volume rises eightfold while surface only quadruples — which is why droplets are round.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.