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Results
Enter your dimensions above and the results appear here.
About the Hemisphere Calculator
The hemisphere calculator is a free online tool: volume, curved and total surface area. Enter radius (r) and the results update instantly, alongside a labelled diagram so you always know which measurement goes where.
Choose your input unit (mm, cm, m, km, in, ft or yd) and optionally show the results in a different one: lengths, areas and volumes are converted correctly. Every answer shows the formula behind it, and the calculation runs in your browser, so nothing is uploaded.
Hemisphere Calculator example
Radius (r) = 5 cmVolume = 261.7994 cm³
Curved surface area = 157.0796 cm²
Total surface area = 235.6194 cm²
Flat base area = 78.5398 cm²
Base circumference = 31.4159 cmHow to use the Hemisphere Calculator
- Pick the unit your measurements use. All dimensions must share the same unit.
- Enter radius (r). Focus a field to highlight the matching label on the diagram.
- Read the results as you type. The largest card is the main answer; the others are the related measurements.
- Copy a single value, copy everything, or share a link that keeps your inputs.
Hemisphere Calculator FAQ
What formulas does the hemisphere calculator use?
V = ⅔πr³; Curved SA = 2πr²; Total SA = 3πr².
Can I use different units?
Yes. Pick the input unit and, if you like, a different output unit. Area results are shown in squared units and volumes in cubed units.
Is this hemisphere calculator free and private?
Yes. It is free with no sign-up, and calculations happen on your device, so your numbers are never sent to a server.
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