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Volume, SM-Bank 158

A right cylinder has a volume of 22 cubic metres. Calculate the diameter of the cylinder if the height is 7 metres.

Give your answer to the nearest whole metre.  (3 marks)

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\(2\ \text{m}\)

Show Worked Solution
\(V\) \(=\pi r^2h\)
\(22\) \(=\pi\times r^2\times 7\)
\(22\) \(=7\pi\times r^2\)
\(r^2\) \(=\dfrac{22}{7\pi}\)
\(r^2\) \(=1.000\dots\)
\(r\) \(=\sqrt{1.000}=1.000\dots\)
\(r\) \(\approx 1\ \text{m (nearest whole m)}\)

 
\(\therefore\ \text{The diameter of the cylinder is approximately 2 m}\)