Question

Water flows at the rate of 10m per minute through a cylindric pipe 5mm in diameter.How long would it take to fill a conicle vessel whose diameter at the surface 40cm and depth 24cm.

Answer 1

10m per minute calculated =?
5×up answer

Answer 2

Answer:

Step-by-step explanation:

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 mi