The container of a petrol tanker is a cylinder with its axis horizontal Its

The container of a petrol tanker is a cylinder with

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22. The container of a petrol tanker is a cylinder with its axis horizontal. Its internal length is 7mand its internal diameter is 2.1 m. Fig MEPS1.4 shows the vertical section of the container when the depth of the petrol it contains is 0.525m, AB being the horizontal level of the petrol.Calculate: a) angle AOB, where O is the center of the circular section.(3 marks)b) the area of sector AOB.(2 marks)c) the shaded area in fig. MEP1.4.(3 marks)d)the mass of the petrol in the tanker, given that one cubic metre of petrol has a mass of 700kg.(2 marks) 12
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23. Three men, Kimani, Said and Sand decided to start a business. The initial capital that they needed was sh.3 000 000, of which they were able to raise 40%, by making contributions in the ratio 3: 3: 2 respectively. They approached a financier who agreed to provide the remaining amount of capital, which was to be paid back within one year, with an interest of 20% and in the same ratio of 3: 3: 2. The three men were to share the proceeds of the business in the ratio of contribution, ie 3:2. During the year, the business realised sh.3 200 000. a) How much of the initial amount did Sang raise? (2 marks) b) How much did Kimani pay to the financier at the end of the year? (4 marks) c) After paying the financier at the end of the year, how much was Said left with? (4 marks) 13
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24. A car manufacturing company exports one third of its cars. Three fifths of the remainder are sold locally to dealers and the rest to individuals: a) calculate the percentage of cars that are sold to each category of people? (5 marks) b) Construct a pie chart to represent the above information and state the angle of each of the sectors. (5 marks) 25. 1 14
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  • Fall '18
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