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Q9. (a) A horizontal cylindrical vessel is 600 mm long and 120 mm in diameter. Liquid is poured into the vessel until the maximum depth of the liquid is 50 mm.

Determine the volume of liquid in the vessel. (10)

(b) A solid right aluminium cone has a height of 250 mm and a base diameter of 200 mm. It is melted down and recast as a solid sphere.

Calculate the diameter of the sphere allowing for 2% loss in the melting process. (6)