Volume, SM-Bank 154

A right cylinder has a volume of 4021 cubic metres. Calculate the height of the cylinder if the radius is 8 cm.

Give your answer to the nearest whole metre. (2 marks)

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\(20\ \text{m}\)

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\(V\)	\(=\pi r^2h\)
\(4021\)	\(=\pi\times 8^2\times h\)
\(4021\)	\(=64\pi\times h\)
\(h\)	\(=\dfrac{4021}{64\pi}\)
	\(=19.998\dots\)
	\(\approx 20\ \text{m (nearest whole metre)}\)

\(\therefore\ \text{The height of the cylinder is approximately 20 m}\)