Question

A conical tent is to accommodate 11 persons .Each person must have 4 metre Sq. of the space on the ground and 20 metre cube of air to breathe. Find the height of the cone .

Answer 1

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

Answer 2

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