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 height
Given: Radius r = 3; Height h = 7.
V = πr²h; S = 2πr(r+h)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 7 cm |
| Volume | 197.92034 cm³ |
| Total surface area | 188.49556 cm² |
| Lateral area | 131.94689 cm² |
| One base area | 28.274334 cm² |
Volume and height
Given: Volume V = 197.920337176; Height h = 7.
r = √(V/πh)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 7 cm |
| Volume | 197.92034 cm³ |
| Total surface area | 188.49556 cm² |
| Lateral area | 131.94689 cm² |
| One base area | 28.274334 cm² |
Volume and radius
Given: Volume V = 197.920337176; Radius r = 3.
h = V/(πr²)
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 7 cm |
| Volume | 197.92034 cm³ |
| Total surface area | 188.49556 cm² |
| Lateral area | 131.94689 cm² |
| One base area | 28.274334 cm² |
Total surface area and radius
Given: Total surface area S = 188.495559215; Radius r = 3.
h = S/(2πr)−r
| Measurement | Calculated value |
|---|---|
| Radius | 3 cm |
| Height | 7 cm |
| Volume | 197.92034 cm³ |
| Total surface area | 188.49556 cm² |
| Lateral area | 131.94689 cm² |
| One base area | 28.274334 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.