Cylinder Volume Calculator
Calculate the volume of a cylinder given its radius and height. Perfect for 3D geometry and engineering calculations.
Calculate Cylinder Volume
Enter the radius and height of the cylinder:
Cylinder Volume Formula
The volume of a cylinder is calculated using the formula:
Understanding Cylinder Volume
A cylinder's volume is the area of its circular base multiplied by its height. The formula combines the area of a circle (πr²) with the height dimension.
Example Calculation
For a cylinder with radius 3 cm and height 7 cm:
Volume = 3.14159 × 9 × 7
Volume = 197.92083 cm³
Comparison with Other Shapes
A cylinder with the same radius and height as a cone would have:
Cone Volume = ⅓ × π × radius² × height
The cylinder volume is exactly 3 times the volume of a cone with the same dimensions.
Common Cylinder Volumes
| Radius | Height | Volume |
|---|---|---|
| 2 units | 5 units | 62.83 units³ |
| 3 units | 7 units | 197.92 units³ |
| 5 units | 10 units | 785.40 units³ |
| 8 units | 12 units | 2,411.52 units³ |
Real-World Applications
Cylinder volume calculations are used in:
- 🏭 Manufacturing: Calculating capacity of cylindrical containers
- 🚗 Automotive: Engine displacement and fuel tank capacity
- 🏗️ Construction: Concrete volume for cylindrical columns
- 🔬 Science: Volume calculations for laboratory equipment
- 🏺 Storage: Determining capacity of drums and tanks
💡 Tip: Remember that this formula applies to right circular cylinders. For oblique cylinders (where the axis is not perpendicular to the base), the calculation becomes more complex.