2024 NJC Promo Q2

2024 NJC Promo Q2

5 marks

Promo

The region bounded by \(y=x\sqrt{\sin \left( x \right)}\), the \(x\)-axis, and the lines \(x=0\) and \(x=\pi \) is rotated through \(2\pi \) radians about the \(x\)-axis. Find the exact volume of the solid generated.[5]

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Answer:\(\pi^3 - 4\pi\) units\(^3\)

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