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With all working shown, determine the volume, in terms of $\pi$, when this shaded region is turned through $360^\circ$ about the $y$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a section of the curve $x = \frac{12}{y^2} - 2$. The shaded area is enclosed by the curve, the $y$-axis, and the lines $y = 1$ and $y = 2$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Take $x=\frac{12}{y^2}-2$ and the volume formula $V=\pi\int x^2\,dy$.” …
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