Discussion

In the cylindrical container, the base radius is 8 cm. If the height of the water level is 20 cm, find the volume of the water in the container.

Answer: B

The water forms a cylinder of radius 8 cm and height 20 cm.

\[ V = \pi r^{2} h = \pi (8)^{2}(20) = 1280\pi \text{ cm}^{3} \]

\[ V = 1280 \times 3.1416 = 4021.2 \text{ cm}^{3} \]

Since \( 1000 \text{ cm}^{3} = 1 \) litre:

\[ V \approx 4.02 \text{ litres} \]

The conversion is the step most often dropped - the answer in cubic centimetres is a thousand times the answer in litres.

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