Use our volume of revolution calculator to effortlessly determine the space an object occupies when it’s rotated around an axis.
Calculator Explanation:
This calculator finds the volume of revolution by revolving a shape around an axis. The volume is calculated based on the cylinder volume formula:
Volume = π × radius2 × height
How to Use:
Enter the radius of the shape along with the height, then click ‘Calculate’. The result will be the volume of the 3D object formed by revolving the shape around an axis.
Calculations:
The result is calculated using the formula for the volume of revolution of a cylinder. When you input the radius and height, the script computes:
Volume = π × (radius2) × height
Where:
- π (Pi) is approximately 3.14159
- radius is half the diameter of the base circle
- height is the distance between the bases
Limitations:
This calculator assumes that the revolution axis is perpendicular to the height of the shape. It does not account for irregular or non-cylindrical volumes of revolution. The inputs must be positive values, as negative dimensions are not physically meaningful.