Question

There is a conical tent in which 10 persons can stand each person is 6 metre square to stand and 60 m cube air to breathe what is the height of the 10th

Answer 1

Solution :-

Amount of area required for 1 person to stand

= 6 sq.metre

Amount of area required by 10 person to stand

= 6x10 sq.metre
= 600 Sqm

than,

Base Area, π×r× r=60

=>r× r = 60/π ---------(i)

Now,

Volume of air required to breath for 1 person

= 60 cu.metre

Volume of air required to breath by 10 person

= 60x10=600 cu.metre

So,

Volume,

1/3×π×r×r×h = 600 ------ (ii)

Putting the value of equation 1 in eqn 2

we get

1/3×π×60/π×h = 600

=> 1/3×60×h = 600

=> 20×h = 600

=> h = 600/20 = 30

Therefore height = 30 metres

so the height of the 10th is 30 meter.

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I hope it's help you....!!!