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Measurement, STD2 EQ-Bank 18

The cone below has a radius of 4.2 metres and a height of 6.1 metres.
 

Calculate the volume of the cone, giving your answer in cubic metres correct to 1 decimal point.   (2 marks)

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\(112.7\ \text{m}^3 \text{(1 d.p.)}\)

Show Worked Solution
\(V\) \(=\frac{1}{3}\pi r^2h\)
  \(=\frac{1}{3}\times \pi \times (4.2)^2\times 6.1\)
  \(=112.682\dots\)
  \(=112.7\ \text{m}^3 \text{(1 d.p.)}\)