Q. A military tent is in the form of a circular cone of vertical height 6 m, the diameter of the base being 7 m. If 12 soldiers can sleep in it, find the average cubic metre of air space required per soldier. About the author Gianna
Answer: Correct option is B 550 Diameter of the base of the tent =4 cm ∴ Radius of the base (r)= 2 4 =2m=20dm Height (h)=21 dm ∴ Volume of air in the tent = 2 1 πr 2 h = 3 1 × 7 22 ×20×20×21=8800dm 3 ∴ 16 men sleep in the tent ∴ Average space per man= 16 8800 =550dm 3 ∴ Average number of cu.dm of air surface per man=550 Reply
Answer:
Correct option is
B
550
Diameter of the base of the tent =4 cm
∴ Radius of the base (r)=
2
4
=2m=20dm
Height (h)=21 dm
∴ Volume of air in the tent =
2
1
πr
2
h
=
3
1
×
7
22
×20×20×21=8800dm
3
∴ 16 men sleep in the tent
∴ Average space per man=
16
8800
=550dm
3
∴ Average number of cu.dm of air surface per man=550