(i)[5]
State the coordinates of $A$ and $M$.
(ii)[6]
Calculate the volume produced when the shaded region is turned through $360^\circ$ about the $x$-axis, and give your answer in terms of $\pi$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram shows a section of the curve $y = 4\sqrt{x} - x$. The curve has its maximum at $M$ and cuts the $x$-axis at $O$ and $A$.