Solids of a Revolution

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.

Let’s start with the basics of volumes and solids of revolution, calculating the area of regions between curves determined by functions.

Area between two curves

Graphing

Now let’s explore sketching the graph of a solid of revolution whose boundary is formed by rotating an arc of a function about the x-axis or y-axis.