Question

Water flows at the rate of 10 m per minute through a cylindrical pipe 5mm in diameter. How long

would it take to fill a conical vessel having base diameter of 42cm and depth of 24cm.​

Answer 1

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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

Step-by-step explanation:

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