A farmer connects a pipe of internal diameter 5mm from a canal into a conical tank in her field, which is 40 cm in diameter and 24cm deep. If water flows through the pipe at the rate of 10m per minute, in how much time will the tank be filled?
Answers 2
Answer:
R.E.F image
Volume of cone =
3
1
×r
2
h
=
3
1
×3.14×20×20×24
=3.14×400×8
=10048cm
3
Volume flown in 1 min =πr
2
h
=3.14×
10
2.5
×
10
2.5
×1000cm
3
=196.25cm
3
∴ time taken =
196.25
10048
=51.2
∴ 51 minutes and 2 seconds
Solve any question of Surface Areas and Volumes with:-
-
Author:
hollynlcdn
-
Rate an answer:
10
Answer:
51.2 minutes
Step-by-step explanation:
Conical Tank Cylinder
diameter(d)=40cm diameter(d)=5mm=5/10cm =1/2cmradius (R)=20cm radius(r)=1/2 divided by 2=1/4cmHeight(h)= 24cm height(h)= unknown(h)
Solution:
Volume of cone= Volume of cyindrical pipe[tex]\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h=π[tex]r^{2}[/tex]h(Insert Values- Cancel out the π)[tex]\frac{1}{3}[/tex]*r^2h=r^2h1/3*(20*20)*24=(1/4*1/4)*h
( Divided 24 with 3, brought (1/4*1/4) to LHS)20*20*8*4*4=h3200*16=h51200cm=h (lenght of pipe= distance)Now,In physics class 9 we've learnt speed= distance/timetherefore time=distance/speedspeed given is 10m/min(We need to convert m/min to cm/min)In order to do that we need to multiply by 100That is:10m/min*100= 1000cm/minNow by applying the formula,Speed= Distance/Time51200/1000
=51.2 minutesHope this Helped!!All the best!!
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Author:
bobbieq7wo
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