Hemisphere Calculator
What is the volume and surface area of half a sphere? Enter the values below to calculate the result.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Radius (length) | Enter the radius, which is half the diameter. |
Understanding your result
Read volume (length^3), curved (length^2), surface (length^2) in the units and model stated on this page. The formula volume=2*pi*r*r*r/3 · curved=2*pi*r*r · surface=3*pi*r*r defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Entering the diameter where the radius is requested.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What is the volume and surface area of half a sphere?
What is the volume and surface area of half a sphere? Enter the values below to calculate the result.
Common uses
- What is the volume and surface area of half a sphere
How it works
volume=2*pi*r*r*r/3; curved=2*pi*r*r; surface=3*pi*r*r
Worked example
Enter Radius: 3 length. Results: volume: 56.548667764616276 length^3; curved: 56.548667764616276 length^2; surface: 84.82300164692441 length^2.