A hemisphere is exactly half of a sphere. Enter its radius or diameter to get the volume, the curved surface area, the flat base area and the total surface area, with the capacity converted to litres and US gallons.
24 solids in six groups. Enter the dimensions and the model updates instantly.
Prices are in whatever currency you use. The material price needs a material or density above.
Export the shape at your real size for 3D printing, or print a flat net you can cut out and fold into a paper model.
Type the radius, or switch to Diameter. Remember that the total surface area counts the flat circular base too; for a solid dome seen from outside, use the curved surface only.
This page is the hemisphere view of the full 3D Shape Calculator, which covers 24 solids. Every shape button is still available, so you can compare solids without leaving the page.
In every formula, r is a radius, h is a height or depth, and all measurements must use the same unit. The result is in that unit cubed for volume and squared for area.
A bowl with an inside radius of 10 cm holds (2/3) × π × 10³ ≈ 2,094 cm³, about 2.09 litres. The curved surface is 2 × π × 10² ≈ 628 cm² and the total surface including the flat top is 3 × π × 10² ≈ 942 cm².
Hemispheres describe bowls, domes, igloos, tank ends, planetary halves and ball moulds. Architects use the curved area to estimate roofing for a dome, and cooks use the volume to know how much a mixing bowl holds.
What is the volume of a hemisphere? V = (2/3) × π × r³, which is half the volume of a sphere with the same radius.
What is the total surface area of a hemisphere? It is 3 × π × r²: the curved part is 2 × π × r² and the flat circular base adds π × r².
Should I use the inside or outside radius for a bowl? Use the inside radius to find what the bowl holds. Use the outside radius to find the material on the outside surface. For the wall material itself, use the Hollow sphere shape.
How much of a sphere is a hemisphere? Exactly half of its volume and of its curved surface. Its total surface area, 3 × π × r², is three quarters of the sphere’s 4 × π × r² because the flat base is added.