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

Radius(cm)

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

FormulaVolume = 2 ÷ 3 × π × Radius³

With the default numbersVolume = 2 ÷ 3 × π × 8³

AnswerVolume = 1,072.33 cm³

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

QHow 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.

QCan you walk through an example?

With Radius 8cm, the answer is Volume 1,072.33cm³.

QWhat do I need to enter?

Enter Radius. The result recalculates as you type, and an empty box counts as zero.

QHow 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.

QHow 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.

QAnything to watch out for?

Handy for estimating the capacity of a round bowl or the volume under a dome.

Related calculators

Cube Volume CalculatorVolume and surface area of a cube from one edge.Box Volume CalculatorVolume and internal diagonal of a rectangular box.Cylinder Volume CalculatorVolume and surface area of a cylinder from radius and height.Cone Volume CalculatorVolume and slant height of a cone from radius and height.

Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.