A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?
A) 20
B) 19
C) 17
D) 22
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A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?
A) 20B) 19C) 17D) 22
Answer: A) 20
SOLUTION
Given height of the conical tent = 3 m
Diameter = 10 => Radius = D/2 = 10/2 = 5 m
Now, as the tent is in the conical form
Volume of the conical tent = πr2h3πr2h3
=> (22 x 5 x 5 x 3) / (7 x 3)
= 22 x 25/7
= 78.54 cu.m
Given each person requires 3.92 cu.m of air
=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 = 20
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Answer: A) 20
Given height of the conical tent = 3 m
Diameter = 10 => Radius = D/2 = 10/2 = 5 m
Now, as the tent is in the conical form
Volume of the conical tent = πr2h3πr2h3
=> (22 x 5 x 5 x 3) / (7 x 3)
= 22 x 25/7
= 78.54 cu.m
Given each person requires 3.92 cu.m of air
=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20
Answer: A) 20
Given height of the conical tent = 3 m
Diameter = 10 => Radius = D/2 = 10/2 = 5 m
Now, as the tent is in the conical form
Volume of the conical tent = πr2h3πr2h3
=> (22 x 5 x 5 x 3) / (7 x 3)
= 22 x 25/7
= 78.54 cu.m
Given each person requires 3.92 cu.m of air
=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20
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