The diagram shows two mathematically similar bowls. The larger bowl has capacity $$\(7.8\)$$ litres and height $$\(11.5 \mathrm{~cm}\)$$. The smaller bowl has capacity 4 litres. Calculate the height of the smaller bowl. ........................................ $$\(\mathrm{cm}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_m21_qp_22 Year:2021 Question No:20(b)

Answer:

\(9.20\) or \(9.204\) to \(9.205\)

Knowledge points:

E1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.
E4.4.1 Calculate lengths of similar figures.
E4.4.2 Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids.

Solution:

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