This resource is designed to introduce the method for finding the volume of a shape created when an area is rotated around an axis.
The first side explains the derivation of the formulae - I would recommend you also try to show your students an animation that helps them visualise a 3D shape being created by a region rotating about an axis (lots are freely available online).
There are then 5 pages of questions for your students to complete. Most of the questions are in two parts - the first part involves finding an area, the second part involves finding a volume (a very common style of question in examination papers).
Note that students are expected to be able to integrate using ln, e and reverse chain rule.
Answers to all questions are provided.
The first side explains the derivation of the formulae - I would recommend you also try to show your students an animation that helps them visualise a 3D shape being created by a region rotating about an axis (lots are freely available online).
There are then 5 pages of questions for your students to complete. Most of the questions are in two parts - the first part involves finding an area, the second part involves finding a volume (a very common style of question in examination papers).
Note that students are expected to be able to integrate using ln, e and reverse chain rule.
Answers to all questions are provided.
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