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QUESTION 7
(a) A cylindrical supply tank is to have a capacity of 270 L. The tank is required to pass
through a manhole that is 615 mm x 615 mm. How high will the tank be after allowing
20 mm clearance on each side of the tank to allow it to pass through the manhole?
(Show all working and give your answer to 3 decimal places.)
Formula: V = D2 x 0.754 x H
(3 marks)
(b) Calculate, in litres, the amount of water that would fall on a roof with an area of
155 m2 when subjected to a rainstorm having an intensity of 75 mm/hour for a period
of 45 minutes.
(2 marks)
(c) A pipe 750 mm long contains 13.254 L of water. Calculate the diameter of the pipe
in millimetres.
Formula: V = D2 x 0.754 x L
(3 marks)
(d) Calculate the length of the hypotenuse of a right-angled triangle with a base
of 6.500 m and a height of 1900 mm. (Answer to 3 decimal places.)
Formula: Hypotenuse squared = base squared + vertical height squared
(2 marks)
Total 10 marks