| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2024 |
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| Session | February |
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| Topic | Volumes of Revolution |
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13. In this question you must show detailed reasoning.
The region in the first quadrant bounded by curve \(y = \cosh \frac { 1 } { 2 } x ^ { 2 }\), the \(y\)-axis, and the line \(y = 2\) is rotated through \(360 ^ { \circ }\) about the \(y\)-axis.
Find the exact volume of revolution generated, expressing your answer in a form involving a logarithm.
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