In the diagram, the region $R$ is bounded by the curves $y=-{{x}^{2}}+3x-1$, $y=\sqrt{x}$ and the $y

Question

In the diagram, the region $R$ is bounded by the curves $y=-{{x}^{2}}+3x-1$, $y=\sqrt{x}$ and the $y$-axis. Without using a graphing calculator, find the volume of the solid generated when $R$ is rotated through $2\pi $ radians about the $y$-axis.[4]

Accepted Answer

$\frac{3}{10}\pi$ units³\)

2018 MI P2 Q1

2018 MI P2 Q1

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