2019 DHS Promo Q6
The shaded region $R$ is bounded by the curves $x=-3{{\text{e}}^{-2y}}$, $x=\frac{1}{2}-{{\text{e}}^{2y}}$ and the $x$-axis is shown in the diagram below.
(i)
Find the exact region of the region $R$.
[5]
(ii)
Find the volume of the solid or revolution formed when $R$ is rotated through $4$ right angles about the $y$-axis, giving your answer correct to $2$ decimal places.
[2]
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