MATHEMATICS-IX
cylinders thus formed.
in one minute if the speed of water in the pipe is 30 cm/sec?
of
its length or by rolling it along its breadth. Find the ratio of the volumes of the two
23. How many litres of water flow out of a pipe having an area of cross-section of 5 cm2
24. Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of
*3.60 per cubic metre. Find also the cost of cementing its inner curved surface at
+2.50 per square metre.
25. Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubie em of
copper weighs 84 gm.
LEVEL 2
26. A solid cvlinder has a total surface area of 231 cm Its curved surface area is
the total surface area. Find the volume of the cylinder
27. A well with 14 m diameter is dug 8 m deep. The earth taken out of it has been evenly
spread all around it to a width of 21 m to form an embankment. Find the height of
the embankment.
28. The difference between inside and outside surfaces of a cylindrical tube 14 cm long
is 88 sq. cm. If the volume of the tube is 176 cubic em, find the inner and outer radi
of the tube
29. Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate
of 6 metres per second into a cylindrical tank. The water is collected in a cylindrical
vessel radius of whose base is 60 cm. Find the rise in the level of water in 30 minutes?
30. A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of
diameter 3.5 cm through which water flows at the rate of 2 metre per second. In how
much time the tank will be filled?
31. The sum of the radius of the base and height of a solid cylinder is 37 m. If the total
surface area of the solid cylinder is 1628 cm. Find the volume of the cylinder.
32. A well with 10 m inside diameter is dug 8.4 m deep. Earth taken out of it is spread
all around it to a width of 7.5 m to form an embankment. Find the height of the
embankment.
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