water flows out at the rate of 10 m per minute from a cylindrical pipe of 5 mm in diameter. How long it will take to fill a conical vessel whose diameter at the surface 40 cm and depth as 24 cm ???????
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water flows at 10 m / min.
from cyl pipe = 5mm dia.
means per minute it can fill the same volume as of cyl pipe ,
if the same is to be filled at x time required to fill it completely of a conical vessel .
volume of conical vessel = πr^2h/3 = 3.14*(40/2)^2*24/3 = 10048 cm^3.
volume of cyl pipe = πr^2h = 3.14*[(5/2)/10]^2*1000=196.25 cm^3.
now cross multiple ,
min. volume
1. 196.25
? 10048
= (1*10048)/196.25 = 51.2 minutes
it will take 51.2 minutes to fill conical vessel
from cyl pipe = 5mm dia.
means per minute it can fill the same volume as of cyl pipe ,
if the same is to be filled at x time required to fill it completely of a conical vessel .
volume of conical vessel = πr^2h/3 = 3.14*(40/2)^2*24/3 = 10048 cm^3.
volume of cyl pipe = πr^2h = 3.14*[(5/2)/10]^2*1000=196.25 cm^3.
now cross multiple ,
min. volume
1. 196.25
? 10048
= (1*10048)/196.25 = 51.2 minutes
it will take 51.2 minutes to fill conical vessel
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