| We sometimes need to calculate the volume of a solid which can be obtained by rotating a curve
about the x-axis. There is a straightforward technique which enables this to be done, using
integration.
In order to master the techniques explained here it is vital that you undertake plenty of practice
exercises so that they become second nature.
After reading this text, and/or viewing the video tutorial on this topic, you should be able to:
• find the volume of a solid of revolution obtained from a simple function y = f(x) between
given limits x = a and x = b;
• find the volume of a solid of revolution obtained from a simple function y = f(x) where
the limits are obtained from the geometry of the solid.
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English