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Q9. (a) Fig Q9(a)

represents an open topped trough. The top and base are rectangles and the ends, which are vertical, are both in the shape of a trapezium. The top is 2.4 m long and 1.2 m wide. The base is 2.4 m long and 0.6 m wide. All the sloping edges are 1 m long.

Calculate EACH of the following:

(i) the volume of the trough; (6)

(ii) the total surface area of the trough. (4)

(b) Determine the number of solid spheres of diameter 8 mm which can be made by melting down a solid cylinder of diameter 50 mm and length 60 mm allowing for 5% wastage in the process. (6)