Academics – Mathematics : 2015/DEC/09
Question
Q9. (a) The debris from excavating a tunnel is estimated to be 174720 m3.
This debris is to be stacked in the form of a frustum of a cone such that the vertical height is 18 m and the area of the base is four times the area of the top.
Calculate the base area of the stack. (10)
(b) Metal washers have an outside diameter of 30 mm, an inside diameter of 10 mm and a thickness of 2.5 mm.
The density of the metal is 7500 kg m-3.
Calculate, to the nearest kilogram, the mass of a batch of 20000 such washers. (6)
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