A frustum container has open top diameter \(24\text{ cm}\), base diameter \(18\text{ cm}\), and is filled with water to height \(10\text{ cm}\). Calculate the volume in litres, leaving your answer in terms of \(\pi\).[4]
The water is poured into an open cylinder of height \(20\text{ cm}\), filling \(\dfrac34\) of its height. Calculate the surface area of the cylinder not in contact with the water.[4]
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