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QUESTION 6
All working must be shown for each question
(your answers are to be correct to three decimal places)
(a) The dimensions of a rectangular tank are 6.4m long (L) by 1.7m wide (W) and 1.4m high (H).
Calculate the volume (V) of water in the tank if it is 80% full.
Formula: V = L x W x H
(2 marks)
(b) Calculate the weight of water contained in the tank in (a).
(1 mark)
(c) A PVC fascia gutter is 14 m long. Its temperature rises from 7oC to 24oC. Given that the coefficient
of linear expansion of PVC is 0.0000 m per oC, calculate the length in millimetres that the gutter
expands.
Formula:
Linear expansion = total length x coefficient of linear expansion x
temperature difference in oC
(2 marks)
(d) A cylinder has a volume of 2.4m3 and a diameter of 810mm.
Calculate the height of the cylinder.
Formula: Volume = 0.784 x Diameter2 x Height
(3 marks)
Total 8 marks