Question 1.
How many litres of water flows out of a pipe having an area of cross section 5 min
1 minute, if the speed of water in the pipe is 30 cm s?
Question 2.
The circumference of the trunk of a tree cylindrical in shape is 132 cm. Find the volume of Jimber that can be obtained from a trunk, if the length of the trunks 15 m
Question 3.
The radius and height of a cylinder are in the ratio 4:7 and its volume is 1188 cm Find
its radius
Answers
Answer:
ANSWER:1
Speed of water =30 cm/s ;
Area of pipe =5 cm
2
;
Volume flowing per unit time =30 cm/s×5 cm
2
=150 cm
3
/s
1 Litre=1000 cm
3
Volume flowing per unit time =0.15 Litre/sec
In 1 minute water that will flow=0.15 ×60 Litres
=9 Litres
Step-by-step explanation:
ANSWER:2
We have,
2πr=176 and h=300cm
⇒2×
7
22
×r=176 and h=300cm
⇒r=28cm and h=300cm
Volume of timber=
7
22
×28×28×300cm=
1000000
739200
=0.7392m
3
.
ANSWER:3
Let the radius of the base and height of the cylinder be 5x cm and 7x cm respectively. Then,
Volume = 550 cm
3
7
22
×(5x)
2
×7x=550
22×25x
3
=550
x=1 cm
Hence, radius of the cylinder = 5x = 5 cm.
Answer:
area of cross section of pipe =5cm/sq
speed of water flowing out of the pipe=30/sec
volume of water flows out in 1sec=5×30cm/q=150cm/q
:.volume of water flows out in 1minute=150×60=9000cm/q =9 litters