Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The two barrels in the diagram are mathematically similar. The smaller barrel stands at a height of $h$ cm and has a capacity of 100 litres. The larger barrel measures 90 cm in height and has a capacity of 160 litres.
(main)[3]

Calculate the value of $h$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct cube-root method using $\sqrt[3]{\frac{160}{100}}$ or $\sqrt[3]{\frac{100}{160}}$

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