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Volume, SM-Bank 145

Calculate the volume of the figure below in cubic millimetres. Give your answer correct to 1 decimal place.  (2 marks)
 

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\(942.5\ \text{mm}^3\)

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\(\text{Figure is }\dfrac{60}{360}=\dfrac{1}{6}\ \text{of a cylinder}\)

\(\therefore\ V\) \(=\dfrac{1}{6}\times \pi r^2h\)
  \(=\dfrac{1}{6}\times \pi\times 10^2\times 18\)
  \(=942.477\dots\)
  \(\approx 942.5\ \text{mm}^3\ (\text{1 d.p.})\)