Hemisphere Volume
It is half a sphere, so 2π/3 times the radius cubed. Surface area is 3πr² once you include the flat circular base.
Your numbers
Volume
1,072.33cm³
Litres
1.072L
Surface area
603.19cm²
Formula
Volume = 2 ÷ 3 × π × Radius³
Handy for estimating the capacity of a round bowl or the volume under a dome.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Radius (cm)Centre to edge — half the diameter. | 8 | 0 and up |
Step by step
Quick reference table
Results when only Radius (cm) changes and everything else stays put.
| Radius (cm) | Volume (cm³) | Litres (L) | Surface area (cm²) |
|---|---|---|---|
| 4 | 134.04 | 0.134 | 150.8 |
| 6 | 452.39 | 0.452 | 339.29 |
| 8 | 1,072.33 | 1.072 | 603.19 |
| 12 | 3,619.11 | 3.619 | 1,357.17 |
| 16 | 8,578.64 | 8.579 | 2,412.74 |
What each result means
| Result | At default values |
|---|---|
| Volume (cm³)The space a solid holds — length cubed. | 1,072.33 |
| Litres (L)Capacity in litres; one litre is 1,000 cm³. | 1.072 |
| Surface area (cm²)The total area of a solid’s outer skin. | 603.19 |
Common mistakes
Handy for estimating the capacity of a round bowl or the volume under a dome.
Glossary
- Radius
- Centre to edge — half the diameter.
- Volume
- The space a solid holds — length cubed.
- Litres
- Capacity in litres; one litre is 1,000 cm³.
- Surface area
- The total area of a solid’s outer skin.
Frequently asked questions
Q. How is Hemisphere Volume calculated?
Volume = 2 ÷ 3 × π × Radius³ — It is half a sphere, so 2π/3 times the radius cubed. Surface area is 3πr² once you include the flat circular base.
Q. Can you walk through an example?
With Radius 8cm, the answer is Volume 1,072.33cm³.
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) 4 → Volume (cm³) 134.04 and Radius (cm) 16 → Volume (cm³) 8,578.64. 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?
Handy for estimating the capacity of a round bowl or the volume under a dome.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.