The capacity, c, of a set of similar containers is directly proportional to the cube of their heights,h. If a container of height 20cm holds 2 litres, find
a) the capacity of a container which is 14cm high
b) the height of a container which has a capacity of 3456cm^3

Question

The capacity, c, of a set of similar  containers is directly proportional to the cube of their heights,h. If a container of height 20cm holds 2 litres, find
a) the capacity of a container which is 14cm high
b) the height of a container which has a capacity of 3456cm^3

texaschic101 · Answer

20/2 = 14/x --- 20 cm to 2 liters = 14 cm to x liters
cross multiply
20x = 28
x = 28/20
x = 1 8/20 = 1 2/5
so 14 cm holds 1 and 2/5 liters

sorry...don't know the second one