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.