5 If the base radius of the cone is 2cm and height is 35cm a Find the volume of

# 5 if the base radius of the cone is 2cm and height is

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If the base radius of the cone is 2cm and height is 35cm. a. Find the volume of the toy. (2marks) b. Another similar toy has the radius of 15cm. what is the volume of the second toy in litres. (2marks) 17. a) What flows through a cylindrical pipe internal diameter 4.2cm at a speed of 50m per minute. Calculate the volume of water delivered by the pipe per minute in litres. (4marks) 6
b) A cylindrical storage tank of height 3m is filled by water from the pipe and at the same rate of flow, the water starts flowing into the empty tank at 8.30cm and is filled at 3.10p.m Calculate the are of cross-section of the cylindrical tank. (∏ 22 /7 ) (6marks) 18. The figure represents the cross-section of a petrol tank of height 6.4m and length 40m..O is the centre of the circle part. 7

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a. Determine, 1. the length BC. (2marks) 2. the radius of the circle part. (2mark) b) Calculate the capacity of the tank in litres. (6marks) 8
19. a) Determine the inequalities satisfying the un shaded region. (10marks) 20. Use construction to divide line AB=8cm into seven equal parts. Construct triangle ABC such that AC= 5 / 7 of AB and BC = 4 / 7 of AB. Bisect ABC and BC and let their perpendicular bisectors meet at O. With O as the centre and radius equal to OC, draw a circle passing through C and touching AB at B. Measure the radius of the circle. (10marks) 9

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21. The table below shows the estimated height of 29 seedlings bought by Mr. Maina for his orchard farm. 33, 16, 14, 12 ,36, 1, 19, 11, 39, 20, 7, 10, 31, 4, 24, 40, 6, 12, 37, 29, 7, 31, 30, 18 ,9 18, 32,17, 13 a. Using class intervals of 1-5, 6-15, 16-30 and 31-40 only make a frequency distribution table for the above data. (3marks) b. Using the frequency distribute table in (a) above determine I) the mean. (2marks) II) the median. (2marks) 10
c. Using the graph paper provided represent this data on a Histogram. 22. 11
• Fall '18
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