A conical tent is to accomodate 11 persons- Each person must have 4 m 2 of space on the ground and 20 m 3 of air to breath- Find thw height of the cone-

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Standard X

Mathematics

Volume of a Cylinder

A conical ten...

Question

A conical tent is to accomodate 11 persons. Each person must have 4 m² of space on the ground and 20 m³ of air to breath. Find thw height of the cone.

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Solution

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
(1/3π)(44/π)h = 220 ( from 1 )
1/344h = 220
h = 2203 / 44
h = 5*3
h = 15 cm

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