A hemisphere volume calculator computes the volume of a half-sphere — a dome or bowl shape. Enter the radius for instant volume results.
A hemisphere is exactly half of a sphere, created by cutting a sphere along a great circle (a plane through the center). It has one curved surface and one flat circular base.
Hemispheres appear as bowls, domes, igloos, and satellite dishes. The curved surface area equals 2πr² and the flat base has area πr².
Hemisphere volume = (2/3) × π × r³ (V = (2/3)πr³).
This is exactly half the sphere formula (4/3)πr³ ÷ 2 = (2/3)πr³.
Example: r = 8 cm: V = (2/3) × π × 512 = 1,072.33 cm³ = 1.072 L.
Inner radius 7 cm: V = (2/3)π×343 = 718.38 cm³ = 0.718 L ≈ 3 US cups.
Radius 5 m: V = (2/3)π×125 = 261.8 m³ = 261,799 L.
Interior radius 1.5 m: V = (2/3)π×3.375 = 7.07 m³ of interior space.
Inner radius 12 cm: V = (2/3)π×1728 = 3,619.1 cm³ = 3.62 L.
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Answers to common questions about the hemisphere volume calculator.
V = (2/3)πr³. This equals exactly half the volume of a full sphere with the same radius.
Total SA = 3πr² = curved surface (2πr²) + flat base (πr²).
A bowl approximates a hemisphere. Measure the inner radius at the rim and use V = (2/3)πr³. For a shallow bowl, treat it as a spherical cap instead.
Divide diameter by 2 to get radius, then use V = (2/3)πr³. A 20 cm diameter hemisphere: r = 10 cm, V = (2/3)π×1000 = 2,094.4 cm³.
A hemisphere is a mathematically perfect half-sphere. A dome may be hemispherical or have other curvatures (parabolic, catenary, onion-shaped). Use the hemisphere formula only for true half-sphere domes.