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Two cylindrical containers are similar. The larger one has internal cross-section are of 45 #cm^2# and can hold 0.945 litres of liquid when full. The smaller container has internal cross-section area 20 #cm^2#.
(a) Calculate the capacity of the smaller container.
(b) The larger container is filled with juice to a height of 13 cm. Juice is then drawn from it and emptied into the smaller container
until the depths of the juice in both containers are equal. Calculate the depth of juice in each container.
(c) One fifth of juice in the larger container in part (b) above is further drawn and
emptied into the smaller container. Find the difference in the depths of the juice in the two containers