# cylindrical shell method

## Example 2 | Volumes of Solids of Revolution

**Example 2**

Find the volume generated when the area in Example 1 will revolve about the y-axis.

## Example 1 | Volumes of Solids of Revolution

**Example 1**

Find the volume of the solid generated when the area bounded by the curve y^{2} = x, the x-axis and the line x = 2 is revolved about the x-axis.

## Volumes of Solids of Revolution | Applications of Integration

# Solids of Revolution by Integration

The solid generated by rotating a plane area about an axis in its plane is called a **solid of revolution**. The volume of a solid of revolution may be found by the following procedures: