Academics – Mathematics : 2011/OCT/09
Question
Q9. (a) A piece of lead pipe 350mm long has an internal diameter of 40mm and a wall thickness of 5mm. It is melted down and recast into a solid hemisphere.
The density of the lead is 11340 kg per m3.
Determine EACH of the following:
(i) the diameter of the hemisphere; (5)
(ii) the mass of the hemisphere. (1)
(b) Fig Q 9(b) shows the graphs of the functions
Determine EACH of the following
(i) the co-ordinates of points A and B; (4)
(ii) the area of triangle AOB. (6)
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