Question

There is a conical tent in which 10 persons can stand. each person need 6m2 to stand and 60m3 air to breath. what is the height of tent?

Answer 1

The total area occupied by the 10 people is :

= 6 × 10 = 60m²

This is the base area of the cone.

The total volume of air within the conical tent is :

= 60 × 10 = 600 m³

This is the volume of the conical tent.

Formulae for the volume of a cone is :

V = 1/3 × base area × height

600 = 1/3 × 60 × H

600 = 20H

H = 600/20 = 30

The height of the tent is 30m.

Answer 2

Answer:

Step-by-step explanation:

Solution-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