In a vertical cylindrical container water is being poured for first three minutes at the rate of one life per minute. During second three minutes at the rate of two litres per minute. During third three minutes at the rate of three liters per minute and so on. Find
(a) After 50 minutes how deep the water is ?
(b) How long it will take to fill the cylinder ?
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OpenStudy (goformit100):
@asnaseer @noided
OpenStudy (anonymous):
one litre per minute I presume?
OpenStudy (goformit100):
ok
OpenStudy (anonymous):
goformit
OpenStudy (anonymous):
in the first 3 minutes there's 3 litres, next 3 minutes there's 6 litres, then 9 litres, then 12...
50 can be seen as (3*16)+2
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OpenStudy (goformit100):
ya what happen @DaWizjr Sir ?
OpenStudy (anonymous):
Im younger than you but besides that (3x16)+2
OpenStudy (goformit100):
Thank you sir
OpenStudy (anonymous):
in these 16 parts you're gonna have:
3+2*3+3*3+4*3+...+16*3=408
we still have to account for the 2 extra minutes
OpenStudy (anonymous):
in the extra 2 minutes the water flows at 17 litres/sec, so this is 34 litres
total: 442 litres
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OpenStudy (anonymous):
how big is the cilinder? that's quite important for question b)