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Date May Specimen paper Marks available 4 Reference code SPM.1.SL.TZ0.11
Level Standard Level Paper Paper 1 Time zone Time zone 0
Command term Find Question number 11 Adapted from N/A

Question

Helen is building a cabin using cylindrical logs of length 2.4 m and radius 8.4 cm. A wedge is cut from one log and the cross-section of this log is illustrated in the following diagram.

Find the volume of this log.

Markscheme

volume =240(π×8.4212×8.42×0.872664)    M1M1M1

Note: Award M1 240 × area, award M1 for correctly substituting area sector formula, award M1 for subtraction of their area of the sector from area of circle.

= 45800 (= 45811.96071)      A1

[4 marks]

Examiners report

[N/A]

Syllabus sections

Topic 3—Geometry and trigonometry » SL 3.1—3d space, volume, angles, midpoints
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Topic 3—Geometry and trigonometry » SL 3.4—The circle, arc and area of sector, degrees only
Topic 3—Geometry and trigonometry

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