O-LevelMathematicsMensuration4024/21 · Oct/Nov 2016 · Q47 Marks
[The volume of a sphere is (4/3)πr³] [The surface area of a sphere is 4πr²] A hemispherical bowl is made of material that is 0.8 cm thick. The outside rim of the bowl has radius 9 cm. The bowl is attached to a base which is a solid cylinder, of radius 3.8 cm and height 1.5 cm. [Figure 4.1]
- (a)Calculate the surface area of the inside of the hemispherical bowl.[2]
- (b)Calculate the total volume of material used to make the bowl and the base.[5]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.
- [2] (a) 422 or 423 or 422.4 to 422.6 M1 for ½ × 4 × π × (9-0.8)² Or SC1 for answer 508.9 to 509.0...
- [5] (b) 440 or 440.0 to 440.2 B1 for 8.2 used B1 for (2/3)πr³ used M1 for Bowl: [(2/3) × π × 9³] - [(2/3) × π × (9-0.8)³] oe M1 for Cylinder: π × 3.8² × 1.5
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