(a)[3]
Find, by calculation, the coordinates for $A$ and $B$.
(b)[5]
Find the volume of revolution when the shaded segment, enclosed by the circle and the chord $AB$, is turned through $360^\circ$ about the $x$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays the circle whose equation is $(x - 2)^2 + y^2 = 8$. The chord $AB$ on the circle meets the positive $y$-axis at $A$ and lies parallel to the $x$-axis.