Volume, SM-Bank 163

A quarter-cylinder has a height of 160 centimetres and a radius of 800 centimetres . Calculate the volume of the quarter-cylinder in cubic metres, giving your answer as an exact value in terms of \(\pi\). (2 marks)

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\(25.6\pi\ \text{m}^3\)

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\(\text{NOTE: change measurements to metres before calculations}\)

\(V\)	\(=\dfrac{1}{4}\pi r^2h\)
	\(=\dfrac{1}{4}\times\pi\times 8^2\times 1.6\)
	\(=25.6\pi\)

\(\therefore\ \text{The exact volume of the quarter-cylinder is }25.6\pi\ \text{m}^3\)