Volume, SM-Bank 162

A half-cylinder has a height of 12 centimetres and a radius of 9 centimetres. Calculate the volume of the half-cylinder, giving your answer as an exact value in terms of \(\pi\). (2 marks)

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\(486\pi\ \text{cm}^3\)

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\(V\)	\(=\dfrac{1}{2}\pi r^2h\)
	\(=\dfrac{1}{2}\times\pi\times 9^2\times 12\)
	\(=486\pi\)

\(\therefore\ \text{The exact volume of the half-cylinder is }486\pi\ \text{cm}^3\)