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.
Radius and vertical height
Given: Radius r = 3; Vertical height h = 4.
l = √(r²+h²); V = πr²h/3
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 4 cm |
| Slant height | 5 cm |
| Volume | 37.699112 cm³ |
| Total surface area | 75.398224 cm² |
| Lateral area | 47.12389 cm² |
Radius and slant height
Given: Radius r = 3; Slant height l = 5.
h = √(l²−r²)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 4 cm |
| Slant height | 5 cm |
| Volume | 37.699112 cm³ |
| Total surface area | 75.398224 cm² |
| Lateral area | 47.12389 cm² |
Volume and radius
Given: Volume V = 37.6991118431; Radius r = 3.
h = 3V/(πr²)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 4 cm |
| Slant height | 5 cm |
| Volume | 37.699112 cm³ |
| Total surface area | 75.398224 cm² |
| Lateral area | 47.12389 cm² |
Total surface area and radius
Given: Total surface area S = 75.3982236862; Radius r = 3.
l = S/(πr)−r; h = √(l²−r²)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 4 cm |
| Slant height | 5 cm |
| Volume | 37.699112 cm³ |
| Total surface area | 75.398224 cm² |
| Lateral area | 47.12389 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.