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Given that the volume produced when the shaded region is rotated through $360^\circ$ about the $x$-axis is $24\pi$, find the value of $a$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram shows a segment of the curve $y = \tfrac{a}{x}$, where $a$ is a positive constant.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the volume of revolution formula $V=\pi\int y^2\,dx$ with $y=\frac{a}{x}$.” …
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