Volume, SM-Bank 164

A half-cylinder has a height of 44 millimetres and a diameter of 20 millimetres. Calculate the volume of the half-cylinder in cubic centimetres, giving your answer as an exact value in terms of \(\pi\). (2 marks)

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\(2200\pi\ \text{cm}^3\)

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

\(V\)	\(=\dfrac{1}{2}\pi r^2h\)
	\(=\dfrac{1}{2}\times\pi\times 10^2\times 44\)
	\(=2200\pi\)

\(\therefore\ \text{The exact volume of the half-cylinder is }2200\pi\ \text{cm}^3\)