Shower of Savings...

Kareena Kapoor once fought for water bottle rate, and missed a train,and found the man of her life.(movie:Jab We Met). My post is not related to Bebo,or train or Jab we met. (:D
Its dedicated to water. So, one night when insomnia and me spent our night together,i had this (brilliant) idea and did the following:

1.Found the volume of water required to take a bath,in a standard size bucket:
Height=30cms
Diameter(inner)=30cms
Thus,
Volume,V= pi*h*(d^2)/4
~ 21.205 lts. [ Since 1ltr=1000cm3]

2.Found the volume of water in the pipe,of shower:
Diameter=1.5cms
Length=15cms
Volume, v=pi*l*(d^2)/4
=0.026 lts.
i.e the volume of water in the pipe,before the shower is switched on .

3.When the shower is on the the Volume of water consumed W=pi*((d^2)/4)*s*T
s-velocity of the water coming out of the shower
T- Total time the shower is ON
[Assuming velocity of water coming out of shower be the same all the time]

Therefore, s= length of shower pipe /time taken for water to clear the pipe
=> s= l/t

{Also,'t' is the time it will take for the shower to let out water once u switch it on.}
=> W= pi*((d^2)/4)*l*T/t
=>W=v*(T/t) = 0.026*(T/t) lts.

4.Ratio of volume used in bucket : Volume used in shower = V:W
= (21.205/0.026)*(t/T)
=>V:W=815.58 * (t/T)

So if ,
V:W=1:1 => T(in mins) =13.5*t

[The time taken for water to come out of pipe is about 1sec.So,t=1sec] ---- #1

=> T(in mins)=13.5

5.Which means,
If u keep the shower on for 13.5 mins,you use the same amount of water as u would have in a standard size bucket.

So,for all those smart fellas who just skkiped all the boring stuff,all i say in this post is

Save water,Use Shower(for less than 13.5mins)
6.And thus i slept peacefully !
Cheers !

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WARNING

Read only if u have understood the above or wish to think that u can disprove me

#1 The time taken for water to come out of the pipe depends on the speed of water gushing out of it.The speed of water depends on the guy operating it.For the case where full speed is used it takes less than 1sec for the water to come out but to attain uniform velocity it will take almost a sec.Thus the value obtained as 13.5 is the nearest approximate we can make.
For the case of speed less than full speed,then the water takes more time to come out of pipe,here again the time to 't' being 1sec is the best approximate.The value of t as 1sec is taken for an average value for all kinds of speeds.