## Exam-Style Question on Integration## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 73. This question is similar to one that appeared on an IB Standard paper in 2014. The use of a calculator is allowed.

The graph of \(f(x)=8-x^2\) crosses the x-axis at the points A and B.

(a) Find the x-coordinate of A and of B.

(b) The region enclosed by the graph of \(f\) and the x-axis is revolved 360^{o} about the x-axis. Find the volume of the solid formed.

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