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Academics – Mathematics : 2012/MAR/09
Question

Q9. (a) A solid conic frustum is placed within a hollow open-topped cylinder as illustrated in Fig Q9(a). The frustum and the cylinder have the same axis of symmetry and the same height (30cm). The end diameters of the frustum are 10 cm and 15 cm. The diameter of the cylinder is 20 cm.

Calculate the volume of the space within the cylinder. (12)

 

(b) Determine the mass of 400 steel ball bearings of diameter 10 mm. (4)

Note: The density of the steel is 7900 kg/m3.

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