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5 persons will live in atent. If each person requires `16m^2` of floor area and `100m^3` space for air then the height of the cone of smallest size to

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5 persons will live in atent. If each person requires `16m^2` of floor area and `100m^3` space for air then the height of the cone of smallest size to accommodate these persons would be ?
A. 18.75 m
B. 16 m
C. 10.25 m
D. 20 m
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Correct Answer - A
For surface Area of 5 persons
`pir^2=5xx16`
`r^2=80/pi`
Now, volume of cone = volume of air space of 5 person
`rArr 1/3 pir^2h=5xx100`
`rArr 1/3 pi xx80/pixxh=5xx100`
`:. H=75/4=18.75`
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