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Q8) The plain nylon sheave of a pulley - block may be considered as being formed by rotating the area bounded by the curve y = x² + 3 and the lines x = - 1, x = 1 and y = 0.8, about the x - axis through one complete revolution.

(a) Sketch the bounded area. (4)

(b) State the bore of the sheave. (2)

(c) Calculate the volume of the nylon comprising the sheave. (10)

Note : that the unit of length is the centimetre.