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The diagram shows a frustrum which represents a bucket with an open end diameter of 40 cm and a bottom diameter of 30 cm. The bucket is 30 cm deep and it is used to fill a cylindrical tank of radius of 1.2 m and height 1.35 m which is initially three-fifths full of water.
a) Leaving π in your answer, calculate
i. the capacity of the bucket in litres.
ii. the volume of water required to fill the tank in litres.
b) Calculate the number of buckets that must be drawn to fill the tank