A tank contains 1 litre of water. Water is falling drop wise from the tank. Radius of the drop is 2

M4maths Previous Puzzles

01 Jan 2015 Tank contains

A tank contains 1 litre of water. Water is falling drop wise from the tank. Radius of the drop is 2 mm. If every drop takes 1 sec. to fall from the tank, then the total time required to make the tank empty is

OPtion

1) 8h 16m 25s
2) 8h 17m 37s
3) 8h 15m 23s
4) 8h 10m 21s
5) 8h 3m 24s
6) 8h 13m 35s
7) 8h 11m 28s
8) 8h 22m 56s
9) 8h 19m 34s
10) 8h 23m 23s

Solution

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Option 2)

Correct Option: 2 Best Solution (33)

Surit Datta   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s
So option 2
That's it.

Like? Yes (4) | No (3)  

Supriya Mondal   10 years AGO

Given,total amount of water in tank = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r^3/3 = 4*π*2^3/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29841.55 sec.
= 29841.55/3600 hours
= 8.2893 h
= 8h 17m 37s
So option 2)8h 17m 37s is the correct answer

Like? Yes (3) | No (2)  

Shreya Banerjee   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No   

MRITUNJAY   10 years AGO

Volume of tank/volume of drop=no of drop
1000000*21/4*22*8=29830
approx 8hr 17 min 37sec

Like? Yes (1) | No   

madhusudhanreddy   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3
= 4*π*2*2*2/3 cubic mm
and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No   

pallavi kumbhar   10 years AGO

volume of sphere = 4/3 (pi) r^3
=0.0334933...
total time required= 1000/0.033493=29856.68=29857 second
i.e. 8h 17m 37s

Like? Yes (1) | No   

payal vyas   10 years AGO

1 litre =1000000mm
1 litre=4*22*2^3(7*3)xN mm
where N is no of drops to empty the tank

N=29842(round fig.)
1 drop takes 1 sec
so 29842 takes 29842 sec
or 497.359 min
or 8.28931 hour
so 8 hours 17 min 37 s
option (2)

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Jigyasa Kumar   10 years AGO

29841.6 sec...

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b.subbarao   10 years AGO

volume of drop=4/3*22/7*2*2*2=704/21 , 1 liter voume=1000000 cubic mm ,time taken for the empty of the tank= 1000000/704/21=29829.54 sec.=8h 17m 37sec

Like? Yes (1) | No   

sai sindhu   10 years AGO

1 litre=10,00,000 cubic mm
volume of drop=4*3.14*(r^3)/3
1sec->4*3.14*(r^3)/3
?->10,00,000
which is equal to 8h 17m37sec

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ABHINAV PUSHPAM   10 years AGO

Answer is 2

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Faisal JAffry   10 years AGO

Water in tank=1000cm3;
Radius of drop of water= .2 cm;
Vol. of 1 drop= 4/3 * 3.14 * .008 ->> = .03349 cm3;
So,
.03349 takes one second,
therfore 1000cm3 will take >>
1000/.03349 sec
29856.687 sec
THAT IS 8h 17m 37s
Option = 2

Like? Yes (1) | No   

Swagatam Kumar Das   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37

Like? Yes (1) | No   

aishwarya   10 years AGO

1 litre= 1000000 cubic mm
total time required to make the tank empty is
= 1000000/(4/3*3.14*8)sec= 29857 sec= 8h 17m 37s....

Like? Yes (1) | No   

Sourabh Prasad   10 years AGO

1 litre= 1000000 cubic mm
Radius of the drop is 2 mm.and every drop takes 1 sec. to fall from the tank, then the to tal time required to make the tank empty is
= 1000000/(4/3*3.14*8)sec= 29857 sec= 8h 17m 37s....

Like? Yes (1) | No   

A M ANKIT KALLURAYA   10 years AGO

1 litre= 1000000 cubic mm
Radius of the drop is 2 mm.and every drop takes 1 sec. to fall from the tank, then the to tal time required to make the tank empty is
= 1000000/(4/3*3.14*8)sec= 29857 sec= 8h 17m 37s....

Like? Yes (1) | No   

Jaspalsingh Parmar   10 years AGO

I guess option 2

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Ajinkya Kulkarni   10 years AGO

Vol of drop=4πr^3/3=33.51*10^-9 m^3
=33.51*10^-6 lit


No of droplet in 1lit=29857

Time sec =29857 sec

Like? Yes (1) | No   

Narendra   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No   

Jay parmar   10 years AGO

option 2 is correct

Like? Yes (1) | No   

Sravanthi   10 years AGO

1 litre= 1000000 cubic mm
total time required is
1000000/(4/3* 3.14* 8)sec= 29857 sec= 8h 17m 37s

Like? Yes (3) | No (3)  

Abhishek Porwal   10 years AGO

Total amount of water = 1 litre = 1000000 cubic
mm
Volume of 1 drop of water = 4*π*r*r*r/3 =
4*π*2*2*2/3 cubic mm and this drop takes 1 sec
to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No (1)  

Ravi Bhalani   10 years AGO

Like? Yes (1) | No (1)  

RAKESH   10 years AGO

vol of drop = 4/3 * 3.14 * (.2)^3 cm^3

reqd time = 1000 cm^3 / 4/3 * 3.14 * (.2)^3 cm^3 = 29856.688 sec

= 8h 17m 37s

Like? Yes (1) | No (1)  

Ashwin Dinesh   10 years AGO

guessed

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Sanu Panji   10 years AGO

volume of one drop water
= (4/3)*pi*(2/10)^3 cc
= .033493 cc
total water = 1 litre = 1000 cc
so number of drops
= 1000/0.033493
= 29857
so time takes to make the tank empty is
= 29857 sec
= 8h 17m 37s

so option (2) is correct

Like? Yes (2) | No (2)  

P.Pandeeswari   10 years AGO

1 litre= 1000000 cubic mm
Radius of the drop is 2 mm.and every drop takes 1 sec. to fall from the tank, then the to tal time required to make the tank empty is
= 1000000/(4/3*3.14*8)sec= 29857 sec= 8h 17m 37s....Option 2)

Like? Yes (2) | No (2)  

guru   10 years AGO

The volume of the drop=4/3 pi r^3
=4/3 times 22/7 times 0.2^3 cm^3=0.03352381
Volume of the tank = 1000 cm^3
Time taken in seconds= 29830 (nearly)
Time taken in hour, minute and seconds = 8h 17m 37s

Like? Yes (1) | No (1)  

Mithun Kumar Kesari   10 years AGO

8hrs 17 min 37 sec

Like? Yes (1) | No (1)  

Sundar Kumar   10 years AGO

Solution
Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No (1)  

Tark Patel   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No (1)  

venkatesh.p   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No (2)  

Aarti Galar   10 years AGO

Total amount of water = 1 litre = 1000000 cubic mm
Volume of 1 drop of water = 4*π*r*r*r/3 = 4*π*2*2*2/3 cubic mm and this drop takes 1 sec to fall from the tank
Hence total time taken = 1000000/(32*π/3) sec.
= 29856.688 sec.
= 29856.688/3600 hours
= 8.2935244 h
= 8h 17m 37s

Like? Yes (1) | No (3)