# Volumes of revolution

Source: https://projectalevel.co.uk/maths/calculus/volumes_of_revolution

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Integration can be used to find the area of a region bounded by a curve whose equation you know.

Imagine that a curve, for example y = x², is rotated around the x-axis so that a solid is formed. The volume of the shape that is formed can be found using the formula:

![](https://content.projectalevel.co.uk/img/maths/vol.gif)