THE NUMBERS, EXPLAINED
How to use this calculator.
A hemisphere is half a sphere; total surface area includes the flat circular base.
Start with your inputs
Enter radius. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Radius | 3 |
A worked example
With the example inputs above, volume is 56.548668. Change the inputs to explore your own scenario.
Putting the example numbers into the formula
Volume
2 ÷ 3 × π × (3)^3 = 56.548668
Curved area
2 × π × (3) × (3) = 56.548668
Area including base
3 × π × (3) × (3) = 84.823002
| Result | Example answer |
|---|---|
| Volume | 56.548668 |
| Curved area | 56.548668 |
| Area including base | 84.823002 |
How this is calculated
Volume
2 ÷ 3 × π × a^3
Curved area
2 × π × a × a
Area including base
3 × π × a × a
Symbols and units
- a
- Radius
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Calculation steps and notation
π is the circle constant, approximately 3.141592653589793.
Assumptions and limits
A hemisphere is half a sphere; total surface area includes the flat circular base.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Volume; Curved area; Area including base. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: A hemisphere is half a sphere; total surface area includes the flat circular base.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →