| Exam Board | CAIE |
|---|
| Module | P1 (Pure Mathematics 1) |
|---|
| Year | 2020 |
|---|
| Session | March |
|---|
| Topic | Volumes of Revolution |
|---|
3
\includegraphics[max width=\textwidth, alt={}, center]{01b98496-a717-4c68-8489-42d2203b700f-04_700_401_260_870}
The diagram shows part of the curve with equation \(y = x ^ { 2 } + 1\). The shaded region enclosed by the curve, the \(y\)-axis and the line \(y = 5\) is rotated through \(360 ^ { \circ }\) about the \(\boldsymbol { y }\)-axis.
Find the volume obtained.