# Volume of a Solid of Revolution

**Formula for Volume of a Solid of Revolution:**`V = πr^2h`

## Introduction to Volume of a Solid of Revolution

The volume of a solid of revolution is the volume of the solid generated by rotating a shape around an axis. For a solid obtained by rotating a circle around its axis, the formula to calculate the volume is ** V** =

**, where**

*πr^2h***is the volume,**

*V***is the radius of the circle, and**

*r***is the height of the solid along the axis of rotation. This formula is important in calculus and engineering to calculate the volume of objects of revolution.**

*h*## Parameter usage:

`r`

= radius of the circle`h`

= height of the solid along the axis of rotation

## Output:

`V`

= volume of the solid

## Data validation

The radius and height should be non-negative numbers.

## Summary

This formula calculates the volume of a solid obtained by rotating a circle around its axis, based on the given radius and height. The output is in cubic units. It is widely used in mathematical and engineering calculations.

Tags: Calculus, Engineering, Volume, Solid Of Revolution