| Exam Board | AQA |
|---|
| Module | Further AS Paper 1 (Further AS Paper 1) |
|---|
| Session | Specimen |
|---|
| Marks | 5 |
|---|
| Topic | Volumes of Revolution |
|---|
5 The region bounded by the curve with equation \(y = 3 + \sqrt { x }\), the \(x\)-axis and the lines \(x = 1\) and \(x = 4\) is rotated through \(2 \pi\) radians about the \(x\)-axis.
Use integration to show that the volume generated is \(\frac { 125 \pi } { 2 }\)
[0pt]
[5 marks]