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O-LevelMathematicsMensuration4024/12 · Oct/Nov 2014 · Q153 Marks

[The volume of a sphere is (4/3)πr³] 20 spheres, each of radius 3 cm, have a total volume of kπ cm³.

  1. (a)Find the value of k.[1]
  2. (b)The spheres are inside an open cylinder, with radius 6 cm. The cylinder stands on a horizontal surface and contains enough water to cover the spheres. Calculate the change in depth of the water when the spheres are taken out of the cylinder.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] (a) 720
  2. [2] (b) 20
  3. [2] M1 for (π × 6² × d) (oe) = kπ where k = 720 or their(a)

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About this question

Topic
Mensuration, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2014 Paper 1 Variant 2, question 15.

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