Volume, SM-Bank 149

A a chicken feeder has been constructed using a rectangular prism and a quarter-cylinder.

Calculate the volume of the chicken feeder, giving your answer correct to one decimal place. (2 marks)

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\( 61\ 703.4\ \text{cm}^3\ (\text{1 d.p.})\)

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\(V\)	\(=\dfrac{1}{4}\times\pi r^2h+l\times b\times h\)
	\(=\dfrac{1}{4}\times\pi\times 24^2\times 60+24\times 24\times 60\)
	\(=27\ 143.360\dots+34\ 560\)
	\(=61\ 703.360\dots\)
	\(\approx 61\ 703.4\ \text{cm}^3\ (\text{1 d.p.})\)