water flows at the rate of 10m/min through a cylindrical pipe 5mm in diameter . how long would it take to filla conical vessel whose diameter at the surface is 40 cm and depth is 24 cm
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138
given ,
flow rate=10m/min
radius =5mm/2=2.5mm
now for conical vessel
radius=40cm
height=24cm
now
volume of conical vessel=pi.r^2.h/3
=22/7 x 40 x 40 x 24/3
volume of cylindrical pipe=volume of conical vessel
let at tmin time conical vessel fill completely
hence length of water required =10tm=1000tcm
hence ,
volume of cylindrical pipe=volume of conical vessel
pi.r^2.l=22/7 x 40 x 40 x 8
(0.25)^2 x 1000t=40 x 40 x 8
t=40 x 40 x 8/(0.25)^2 x 1000
=204.8 min
flow rate=10m/min
radius =5mm/2=2.5mm
now for conical vessel
radius=40cm
height=24cm
now
volume of conical vessel=pi.r^2.h/3
=22/7 x 40 x 40 x 24/3
volume of cylindrical pipe=volume of conical vessel
let at tmin time conical vessel fill completely
hence length of water required =10tm=1000tcm
hence ,
volume of cylindrical pipe=volume of conical vessel
pi.r^2.l=22/7 x 40 x 40 x 8
(0.25)^2 x 1000t=40 x 40 x 8
t=40 x 40 x 8/(0.25)^2 x 1000
=204.8 min
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73
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