Two containers are similar. If the larger one with the height of 20cm holds 2.5 litres of liquid. Work out the capacity of the smaller container of its height is 15cm. Give your answer correct to 3 significant figures

Answer 1

To solve this problem, we can use the concept of similar containers and their volume ratios.

Let the capacity of the smaller container be V litres. Since the two containers are similar, the ratio of their volumes is equal to the cube of the ratio of their heights:

(Volume of larger container) / (Volume of smaller container) = (Height of larger container)^3 / (Height of smaller container)^3

2.5 / V = 20^3 / 15^3
2.5 / V = 8000 / 3375
V = 2.5 * 3375 / 8000
V = 1.0546875

Therefore, the capacity of the smaller container is approximately 1.055 litres.