Edexcel IGCSEMathematicsGeneral Applications6 Marks
A solid metal sphere has radius r=5 cm. The formula for the volume of a sphere is V = 4/3π r³.
- (a)Work out the volume of the sphere. Give your answer correct to 3 significant figures.[3]
- (b)The sphere has a mass of $1.5$ kg. Calculate the density of the sphere. Give your answer correct to 3 significant figures. Density = mass / volume.[3]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- Q12(a): M1 for substituting r=5 into the formula (e.g., 4/3 × π × 5³)
- Q12(a): A1 for $523.59...$ or $523.6$ (accept $524$ if rounded from full value)
- Q12(a): C1 for rounding to 3 sf correctly (e.g. 524 cm³)
- Q12(b): M1 for converting kg to g (e.g. 1.5 kg = 1500 g)
- Q12(b): M1 for mass / volume (e.g. $1500 / 523.59...$)
- Q12(b): A1 for $2.86$ or $2.864...$
- Q12(b): C1 for rounding to 3 sf and correct units (e.g. 2.86 g/cm³)
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