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.

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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