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Volume, SM-Bank 144

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

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\(17.9\ \text{m}^3\)

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\(\text{Figure is }\dfrac{3}{4}\ \text{of a cylinder}\)

\(\therefore\ V\) \(=\dfrac{3}{4}\times \pi r^2h\)
  \(=\dfrac{3}{4}\times \pi\times 1.3^2\times 4.5\)
  \(=17.918\dots\)
  \(\approx 17.9\ \text{m}^3\ (\text{1 d.p.})\)