Volume, SM-Bank 146

Geraldine created a large chocolate mould in the shape of a half cylinder using her 3D printer.

Calculate the volume of the mould, giving your answer to the nearest cubic centimetre. (2 marks)
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Calculate the capacity of the mould in litres. (1 mark)
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a. \(8310\ \text{cm}^3\)

b. \(8.31\ \text{L}\)

Show Worked Solution

a. \(\text{diameter = 23 cm }\rightarrow\ \text{radius = 11.5 cm}\)

\(\therefore\ V\)	\(=\dfrac{1}{2}\times \pi r^2h\)
	\(=\dfrac{1}{2}\times \pi\times 11.5^2\times 41\)
	\(=8309.512\dots\)
	\(\approx 8310\ \text{cm}^3\ \text{nearest cm}^3)\)

b. \(\text{1 litre = 1000 cm}^3\)

\(\therefore\ 8310\ \text{cm}^3\)	\(=\Bigg(\dfrac{8310}{1000}\Bigg)\ \text{L}\)
	\(=8.31\ \text{L}\)