In the diagram, the region $G$ is bounded by the curves $y=\frac{3x-1}{x+1}$, $y=\sqrt{x}$ and

Question

In the diagram, the region $G$ is bounded by the curves $y=\frac{3x-1}{x+1}$, $y=\sqrt{x}$ and the $y$-axis. Find the exact volume of the solid generated when $y=\sqrt{x}$ is rotated about $y$-axis through $2\pi $ radians.

Accepted Answer

$\pi\left(\frac{29}{5}-8\ln2\right)\text{ units}^3$

2017 HCI P1 Q8

2017 HCI P1 Q8

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