Two containers are similar. If the larger one with a height of 20cm holds 2.5 litres of liquid. Work out the capacity of the smaller container if its height is 15cm. Give your answer in 3sf
To find the capacity of the smaller container, we can use the ratio of the heights of the two containers to find the ratio of their capacities.
Height of larger container = 20 cm
Height of smaller container = 15 cm
Ratio of heights = 20/15 = 4/3
Since the containers are similar, the ratio of their capacities will also be 4/3.
Capacity of larger container = 2.5 litres
Capacity of smaller container = (4/3) * 2.5 litres = 3.333... litres
Rounded to 3 significant figures, the capacity of the smaller container is approximately 3.33 litres.