a conical tent is to accommodate 11 person each person must have 4m sq. of the space on the ground and 20m3 of air to breathe find the radius and conical tent
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17
As each person needs 4 sq.m space on ground
So 11 person will need 44 sq.m space on the ground.
Therefore,
Area of ground = 44sq.m
πr = 44sq.m
r = 44/π .......(1)
and each person needs 20cu.m of air
So 11 persons will need 220 cu .m of air
Therefore volume of tent = 220 cu.m
1/3πr h = 220cu.m
(1/3*π)*(44/π)*h = 220 ( from 1 )
1/3*44*h = 220
h = 220*3 / 44
h = 5*3
h = 15 cm
So 11 person will need 44 sq.m space on the ground.
Therefore,
Area of ground = 44sq.m
πr = 44sq.m
r = 44/π .......(1)
and each person needs 20cu.m of air
So 11 persons will need 220 cu .m of air
Therefore volume of tent = 220 cu.m
1/3πr h = 220cu.m
(1/3*π)*(44/π)*h = 220 ( from 1 )
1/3*44*h = 220
h = 220*3 / 44
h = 5*3
h = 15 cm
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