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Q8. The uniform cross-section of a 60 metres long cargo space, in a small bulk carrier, can be represented by the area enclosed by the curve y = 1/4 x² and the lines y = 1 and y = 9, as shown by the shaded part in Fig Q8.

Calculate EACH of the following for the cargo space:

(a) the area of its cross-section; (13)

(b) its capacity in cubic metres. (3)