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Solid of Revolution Between Curves

This is part of the HSC Mathematics Extension 1 course under the topic: Applications of Calculus, in particular, further area and volumes of solids of revolution.

In this post, we will calculate the volume of a solid of revolution formed by rotating a region in the plane about the x-axis or y-axis.

 

Introduction to solids of a revolution

 

 

How to calculate solids of a revolution

 

We will also determine the volumes of solids of a revolution that are formed by rotating the region between two curves about either the x-axis or y-axis in both real-life and abstract contexts.

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