| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2024 |
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| Session | September |
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| Marks | 5 |
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| Topic | Volumes of Revolution |
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7. 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 \(\frac { 125 \pi } { 2 }\)
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