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A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$$^{2}$ space to sit and $30$ $m$$^{2}$ of air to breath. What will be height of cone ?

  1. $37.5$ $m$
  2. $150$ $m$
  3. $75$ $m$
  4. $15$ $m$
in Quantitative Aptitude 9.3k points 41 648 824
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1 Answer

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Answer:

15 m

Step-by-step explanation:

Area required by one person = 6 sq.m.

Area required by 10 persons = 

So, Area of base conical tent = 60 sq.m.

Formula of Area of base of cone  = 

So, 

Volume of cone = 

                          =   

Air required by 1 person = 30 cubic m

Air required by 10 person = 

So, Volume of cone =  

So,    

  

Hence the height of the cone is approximately 15 m

18 points 1 1 2

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