Hemisphere Calculator

Volume and surface area of half a sphere. Enter the values you know and the rest are worked out, with the steps shown.

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About the hemisphere calculator

A hemisphere is half a sphere: a dome with a flat circular base. Its volume is half of a sphere’s, (2/3)πr³. The curved surface is 2πr², and adding the base disk gives a total surface of 3πr².

Formulas

VolumeV = (2/3)πr³
Curved surfaceS꜀ = 2πr²
Total surfaceS = 3πr²

Frequently asked questions

How much does a hemispherical bowl hold?

V = (2/3)πr³. A bowl of inner radius 10 cm holds about 2094 cm³ ≈ 2.1 L.