Math

Hemisphere Calculator (Volume and Surface Area)

Enter the radius of the hemisphere.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

Volume
Volume
—
Curved surface area
—
Total surface area (with the flat base)
—
Base area
—
Capacity in litres (if cm)
—

Hemisphere Calculator (Volume and Surface Area) by TheCalcTools

How the Hemisphere Calculator (Volume and Surface Area) works

A hemisphere is half a sphere: volume = (2/3)πr³, curved area = 2πr², and with the flat circular base the total surface is 3πr².

Bowls, domes and tank ends are often hemispheres; use the litre capacity for bowls measured in centimetres.

The formula

V = ⅔πr³; curved area = 2πr²; total = 3πr²

Worked example

Using the default values shown in the calculator:

Radius5
  1. Radius 5: volume 261.7994, total surface 235.6194.

Result:

Volume261.7994
Curved surface area157.0796
Total surface area (with the flat base)235.6194
Base area78.5398
Capacity in litres (if cm)0.2618

Frequently asked questions

How much does a hemispherical bowl hold?

A bowl with an inside radius of 10 cm holds about 2.09 litres.

Sources and further reading

Sphere Volume and Surface Area CalculatorEnter the radius to find the volume and surface area of a sphere Cylinder Volume CalculatorEnter the radius and height to find a cylinder's volume and surface area Cone Volume CalculatorEnter the radius and height of a cone to find its volume, slant height and surface area Volume ConverterKitchen, fuel and tank volumes between metric and US/UK units Triangular Prism Calculator (Volume and Surface Area)Enter the three sides of the triangular end and the prism's length

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