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Volume of a hemisphere calculator

Enter the dimensions of a hemisphere and read off its volume and surface area. Volumes convert to litres and gallons with the unit selector.

Volume
56.548 668m³
≈ Rounded Volume of a hemisphere
Surface area
84.823 002
Curved surface only
56.548 668
Show the working
  1. Radius = 3
  2. Volume = 2/3 * pi * 3^3 = 56.5487
  3. Surface area = 3 * pi * 3^2 = 84.823
  4. Curved surface only = 2*pi*3^2 = 56.5487

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • volume = (2/3) pi r^3
    • total surface = 3 pi r^2, of which 2 pi r^2 is curved

    Switch the volume unit to litres or US gallons to read the capacity directly.

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