there is conical tent in which 10 persons can stand. Each person need 6m square to stand and 60m cube air to breath. what is the height of tent?

• 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
• 9 years agoHelpfull: Yes(23) No(0)
• ground area for cone is pi*r*r. 1 person needs 6 sq.meter so that total area for 10 persons is 60 sq.meter. thus pi*r*r=60 sq.meter.
  total volume should be 600 m cube.
  so that 1/3 *(pi*r*r)*h=600.
  put value of pi*r*r=60sq.m and you will get h=30 meter.
• 8 years agoHelpfull: Yes(3) No(0)
• 
  
  
  
  h
  
  Each persons need 6m^2 to stand
  Total persons=10
  Area of surface(πr^2)=(10*6)m2=60m^2------------(1)
  We know volume of cone=⅓πr^2h (h=height)
  Here,
  ⅓πr^2h=60 (As,each person needs 60m^3 cube air to breath)
  ⅓*60*h=60 [from----(1)]
  h=3
  Answer=height=3
  
• 9 years agoHelpfull: Yes(2) No(1)
• Amount of area need by single person to stand = 6 square meter
  Amount of area need by 10 person to stand = 6x10 square meter = 60 square meter
  So,
  Base Area, 3.14*r*r=60
  >r*r = 60/pi eq(1)
  Now,
  >Volume of air need to 1 person= 60 cubic meter
  >Volume of air need by 10 person to breathe = 60x10=600 cubic meter
  >Volume, 1/3*pi*r*r*h = 600 eq(2)
  >Putting the value of equation 1 in equation 2, we get
  1/3*pi*60/pi*h = 600
  > 1/3*60*h = 600
  > 20*h = 600
  > h = 600/20 = 30
  so height = 30 metres
• 8 years agoHelpfull: Yes(2) No(0)
• pi*r^2=6
  1/3*pi*r^2*h=60
  1/3*6*h=60
  so h=30.....
• 7 years agoHelpfull: Yes(2) No(0)
• area for 1 person 6 sqm
  base area = pi r*r=6
  vol of air for 1 person 60 cubic m
  vol= 1/3 pi r*r*h
  60=1/3 pi r*r*h
  
  putting valu of r*r in vol equ
  
  60=1/3* pi *6/pi*h
  h=30m
• 9 years agoHelpfull: Yes(1) No(0)
• the formula for the base is pi*r*r
  which is 6*10 = 60 sq.meter
  but the total surface area is 1/3*pi*r*r*h (h is the height)
  we know pi*r*r = 60
  and also 60 cube air,
  so,
  1/3*pi*r*r*h = 60
  solving this we get,
  h = 30
  so the height of the tent is 30 meter.
• 9 years agoHelpfull: Yes(1) No(0)
• 30m answer
• 9 years agoHelpfull: Yes(1) No(0)
• 3m
  since area of person space =area of circle=10*6
  volume=60
  vol=area
  therefore (h^3)/3=1
  hence h=3
• 7 years agoHelpfull: Yes(0) No(0)