O-LevelMathematicsMensuration4024/12 · Oct/Nov 2016 · Q213 Marks
[The volume of a sphere is (4/3)πr³] During a storm, raindrops fall into a cylinder which stands on horizontal ground. The cylinder was empty before the storm started. The cylinder has radius 20mm. Each raindrop is a sphere of radius 2mm. After the storm, the depth of water in the cylinder is 16mm. Calculate the number of raindrops that fell into the cylinder.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [3*] 600 WWW
- [M2] for (π× 20² × 16) / ((4/3) × π × 2³)
- or B1 for (Volume of water =) π × 20² × 16
- or for (Volume of one drop =) (4/3) × π × 2³ soi
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