The region bounded by $y=x\sqrt{\sin \left( x \right)}$, the $x$-axis, and the lines $x=0$ and

Question

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]

Accepted Answer

$\pi^3 - 4\pi$ units$^3$

2024 NJC Promo Q2

2024 NJC Promo Q2

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