Academics – Mathematics : 2011/JUL/09
Question
Q9. (a) Fig Q9(a) shows the cross section of a tunnel 120 metres long. The section is a segment of a circle of diameter 12 metres. The width of the base of the tunnel AB is 7.5 metres.
Determine the approximate volume of material removed to make the tunnel. (10)
(b) A solid cylindrical metal bar is 400 mm long and has a diameter 160 mm. It is melted down to make small solid cylinders of diameter 15 mm and length 40 mm.
Calculate how many of these small cylinders can be made, given that 10 % is lost in the process. (6)
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