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 y2 = 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:
 

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