Latest TCS Aptitude Question SOLUTION: there is conical tent in which 10 persons can stand. Each person need 6m square to stand and 60m cube air to breath. what is the height of tent?

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there is conical tent in which 10 persons can stand. Each person need 6m square to stand and 60m cube air to breath. what is the height of tent?

Asked In TCS eswarkumar chennaiahgari (9 years ago)

Unsolved Read Solution (9)

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vishal kumar  (9 years ago)

Amount of area reqd. by 1 person to stand = 6 sq.metre
Amount of area reqd. by 10 person to stand = 6x10 sq.metre i.e 60 sq.metre
So,
Base Area, pi*r*r=60
=>r*r = 60/pi ---------------(1)
Now,
Volume of air reqd. to breathe 1 person= 60 cu.metre
Volume of air reqd. by 10 person to breathe = 60x10=600 cu.metre
So,
Volume, 1/3*pi*r*r*h = 600 ---------------------(2)
Putting the value of eqn 1 in eqn 2, we get
1/3*pi*60/pi*h = 600
==> 1/3*60*h = 600
==> 20*h = 600
==> h = 600/20 = 30
Therefore height = 30 metres

Is this solution Helpfull? Yes (23) | No   

Darshit Pathak  (8 years ago)

ground area for cone is pi*r*r. 1 person needs 6 sq.meter so that total area for 10 persons is 60 sq.meter. thus pi*r*r=60 sq.meter.
total volume should be 600 m cube.
so that 1/3 *(pi*r*r)*h=600.
put value of pi*r*r=60sq.m and you will get h=30 meter.

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ATANU KUNDU  (9 years ago)

h

Each persons need 6m^2 to stand
Total persons=10
Area of surface(πr^2)=(10*6)m2=60m^2------------(1)
We know volume of cone=⅓πr^2h (h=height)
Here,
⅓πr^2h=60 (As,each person needs 60m^3 cube air to breath)
⅓*60*h=60 [from----(1)]
h=3
Answer=height=3

Is this solution Helpfull? Yes (2) | No (1)  

shubham  (8 years ago)

Amount of area need by single person to stand = 6 square meter
Amount of area need by 10 person to stand = 6x10 square meter = 60 square meter
So,
Base Area, 3.14*r*r=60
>r*r = 60/pi eq(1)
Now,
>Volume of air need to 1 person= 60 cubic meter
>Volume of air need by 10 person to breathe = 60x10=600 cubic meter
>Volume, 1/3*pi*r*r*h = 600 eq(2)
>Putting the value of equation 1 in equation 2, we get
1/3*pi*60/pi*h = 600
> 1/3*60*h = 600
> 20*h = 600
> h = 600/20 = 30
so height = 30 metres

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priya  (7 years ago)

pi*r^2=6
1/3*pi*r^2*h=60
1/3*6*h=60
so h=30.....

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upama nayak  (9 years ago)

area for 1 person 6 sqm
base area = pi r*r=6
vol of air for 1 person 60 cubic m
vol= 1/3 pi r*r*h
60=1/3 pi r*r*h

putting valu of r*r in vol equ

60=1/3* pi *6/pi*h
h=30m

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Surit Datta  (9 years ago)

the formula for the base is pi*r*r
which is 6*10 = 60 sq.meter
but the total surface area is 1/3*pi*r*r*h (h is the height)
we know pi*r*r = 60
and also 60 cube air,
so,
1/3*pi*r*r*h = 60
solving this we get,
h = 30
so the height of the tent is 30 meter.

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grvroxx  (9 years ago)

30m answer

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Shruti  (7 years ago)

3m
since area of person space =area of circle=10*6
volume=60
vol=area
therefore (h^3)/3=1
hence h=3

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