Paper 1 October/November 2006 MATHEMATICH (9709/1) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The diagram shows part of the curve $y = 4\surd x - x$. The curve has a maximum point at $M$ and meets the x-axis at $O$ and $A$.
a) Find the coordinates of $A$ and $M$.
b) Find the volume obtained when the shaded region is rotated through ${360^ \circ }$ about the x-axis, giving your answer in terms of $\pi $.