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5 October, 19:49

2 (a) Two mathematically similar containers have heights of 30 cm and 75 cm. The larger container has a capacity of 5.5 litres. Calculate the capacity of the smaller container. Give your answer in milliliter

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  1. 5 October, 22:24
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    V (small) = 352 milliliters

    the capacity of the smaller container is 352 milliliters

    Step-by-step 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
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