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Find the exact volume obtained when this shaded region is rotated through $360^\circ$ about the $y$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a section of the curve $x = \frac{8}{y^2} - 2$, which meets the $y$-axis at the point $A$. The point $B(6,1)$ lies on the curve. The shaded region is enclosed by the curve, the $y$-axis and the line $y = 1$.