Volume, SM-Bank 153

A right cylinder has a volume of 2827 cubic centimetres. Calculate the height of the cylinder if the radius is 10 cm.

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

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\(9\ \text{cm}\)

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\(V\)	\(=\pi r^2h\)
\(2827\)	\(=\pi\times 10^2\times h\)
\(2827\)	\(=100\pi\times h\)
\(h\)	\(=\dfrac{2827}{100\pi}\)
	\(=8.998\dots\)
	\(\approx 9\ \text{cm (nearest whole centimetre)}\)

\(\therefore\ \text{The height of the cylinder is approximately 9 cm}\)