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Measurement, STD2 EQ-Bank 7 MC

A conical water tank has a radius of 3 metres and a perpendicular height of 5 metres.

Calculate the volume of water the tank can hold in kilolitres. (Note: 1 m³ = 1 kL)

  1. 15.71 kL
  2. 23.56 kL
  3. 47.12 kL
  4. 141.37 kL
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\(C\)

Show Worked Solution
\(V\) \(=\frac{1}{3}\pi r^2h\)
  \(=\frac{1}{3}\times \pi \times (3)^2\times 5\)
  \(=47.123\dots\)

 
\(\text{Using: 1 m}^3 = 1\ \text{kL:} \)

\(\text{47.12 m}^3= 47.12\ \text{kL}\)

\(\Rightarrow C\)