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Exam-Style Question on Volume

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Question id: 451. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.

A wedge is to be cut from a log in the shape of a cylinder as shown in the diagram below (not to scale).

The length of the log is 240cm and its radius is 40cm. The cross section of the wedge to be removed is a sector with an angle of 130o.

What is the volume of the remaining piece of the log after the wedge has been removed?

Wedge cut from log

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Example

Dent

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If you need more practice try the self-checking interactive exercises called Cylinders.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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