Follow a worked example.
Every example below can be loaded using its calculator’s Reset example button. Inputs use centimetres, square centimetres or cubic centimetres as labelled, while angles use degrees.
From radius
Given: Radius r = 5.
V = 4πr³/3; S = 4πr²
| Measurement | Calculated value |
|---|---|
| Radius | 5 cm |
| Diameter | 10 cm |
| Volume | 523.59878 cm³ |
| Total surface area | 314.15927 cm² |
| Great-circle area | 78.539816 cm² |
From diameter
Given: Diameter d = 10.
r = d/2
| Measurement | Calculated value |
|---|---|
| Radius | 5 cm |
| Diameter | 10 cm |
| Volume | 523.59878 cm³ |
| Total surface area | 314.15927 cm² |
| Great-circle area | 78.539816 cm² |
From volume
Given: Volume V = 523.598775598.
r = ∛(3V/4π)
| Measurement | Calculated value |
|---|---|
| Radius | 5 cm |
| Diameter | 10 cm |
| Volume | 523.59878 cm³ |
| Total surface area | 314.15927 cm² |
| Great-circle area | 78.539816 cm² |
From surface area
Given: Surface area S = 314.159265359.
r = √(S/4π)
| Measurement | Calculated value |
|---|---|
| Radius | 5 cm |
| Diameter | 10 cm |
| Volume | 523.59878 cm³ |
| Total surface area | 314.15927 cm² |
| Great-circle area | 78.539816 cm² |
Check the answer’s dimensions
An area contains a product of two lengths, while volume contains three. A perimeter or radius is still a length. If your input measurements are mixed between metres and centimetres, convert them to a common unit first. A realistic-looking number can still be wrong if the units were inconsistent.