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The figure below shows a frustum which represents a bucket with an open end diameter of 30 cm and a bottom diameter of 20cm. The bucket which is 42cm deep is used to fill an empty cylindrical tank of diameter 1.8m and height 1.2m.
a) Leaving π in your answer, calculate:
i. the capacity of the bucket in litres.
ii. the capacity of the tank in litres.
b) Calculate the number of buckets that must be drawn to fill the tank.