A container in the shape of a circular cone is filled with water to a height of \(20\) cm.
It is given that the height of the container is \(30\) cm and the diameter of the circular top is \(20\) cm.
Show that the amount of water in the container is \(\frac{8}{27} \pi\) litres.
[\(1\) litre \(= 1000\) cm\(^3\)]

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