Water flows through a pipe of internal radius 35cm at the rate of 9ms into a

# Water flows through a pipe of internal radius 35cm at

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16. Water flows through a pipe of internal radius 3.5cm at the rate of 9m/s into a storage tank of rectangular base measuring 12m by 8m. a. Calculate the volume of water delivered into the tank in one minute in litres. (3 marks) (b) (i) Determine the amount of water consumed in litres by a village of 435 families that depends on this water for one week, if each family consumes an average of six jericans of 20 litres per day. (2 marks) 9

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(ii) Find the minimum height of water level in the storage tank that will ensure that the village doesn’t suffer water shortage in 2 weeks. ( (iii) Calculate the monthly bill of the village if the cost of water is ksh 1.50 per jerican (Take a 30 day month? 10
17. (a) Draw a graph of y = 8 – 10x – 3x 2 for - 5 ≤ x ≤3 (5 marks) (b) On the same axes, draw the line y = 2x +1 and hence+ find (i) The roots of 8 – 10x – 3x 2 = 2x + 1 (2 marks) (ii) A quadratic equation with the roots in (b) (i). (1 mark) (d) By including a straight line, use your graph to solve 3x 2 + 12x – 11 = 0 (2 marks) 11

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18. The figure below represents a rectangle PQRS inscribed in a circle O and radius 17cm PQ = 16cm.
• Fall '18
• ANYANZWA

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