Answer:
V(small) = 352 milliliters
the capacity of the smaller container is 352 milliliters
Explanation:
Given that the two containers are similar, their dimensions follows the same ratio.
Ratio of their length;
Length(smaller) =30 cm
Length(larger) = 75 cm
Ratio = Length(smaller)/Length(larger) = 30cm/75cm
Length Ratio = 2/5
The ratio of their Volumes will be;
Ratio of volume = ratio of length raised to power three.
Rv = Rl^3
Rv = (2/5)^3
Rv = 8/125
The volume of the smaller container;
V(small) = Rv × V(large)
Volume of larger container V(large) = 5.5 litres
substituting the values;
V(small) = 8/125 × 5.5 litres
V(small) = 0.352 litres
V(small) = 352 milliliters
the capacity of the smaller container is 352 milliliters