Volume, SM-Bank 155

A right cylinder has a volume of 50.27 cubic millimetres. Calculate the height of the cylinder if the radius is 2 millimetres.

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

--- 5 WORK AREA LINES (style=lined) ---

Show Answers Only

\(4\ \text{mm}\)

Show Worked Solution

\(V\)	\(=\pi r^2h\)
\(50.27\)	\(=\pi\times 2^2\times h\)
\(50.27\)	\(=4\pi\times h\)
\(h\)	\(=\dfrac{50.27}{4\pi}\)
	\(=4.00\dots\)
	\(\approx 4\ \text{mm (nearest whole millimetre)}\)

\(\therefore\ \text{The height of the cylinder is approximately 4 mm}\)