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Measurement, STD2 EQ-Bank 19

The cone below has a diameter of 13.5 centimetres and a height of 0.4 metres.
 

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

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\(1908.5\ \text{cm}^3 \text{(1 d.p.)}\)

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\(\text{Radius}\ =\dfrac{13.5}{2}=6.75\ \text{cm}\)

\(0.4\ \text{m}\ =\ 40\ \text{cm}\)

\(V\) \(=\frac{1}{3}\pi r^2h\)
  \(=\frac{1}{3}\times \pi \times (6.75)^2\times 40\)
  \(=1908.517\dots\)
  \(=1908.5\ \text{cm}^3 \text{(1 d.p.)}\)