Volume, SMB-016

The truncated cone, pictured below, is made by cutting a right cone of height 60 centimetres.

Find the volume of the truncated cone, giving your answer to the nearest cubic centimetre. (4 marks)

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`7916\ text(cm)^3`

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`text{Radius (original cone) = 12 cm}`

`text{Radius (small cone) = 6 cm}`

`text{Volume}`	`=\ text{Original cone – Small cone}`
	`=(1/3 xx pi xx 12^2 xx 60)-(1/3 xx pi xx 6^2 xx 30)`
	`= 7916.81…`
	`=7916\ text{cm}^3\ \ text{(nearest cm}^3 text{)}`