Quantitative Aptitude :: Volume and Surface Area - Discussion

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Explanation:
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 = 300 ---------------------(2)
Putting the value of eqn 1 in eqn 2, we get
1/3*pi*60/pi*h = 300
=> 1/3*60*h = 300
=> 20*h = 300
=> h = 300/20 = 15
Therefore height = 15 metres