Question

A military tent is in the form of a right circular cone of vertical height 6cm, the diameter
of the base being 7m. If 12 soldiers can sleep in it, find the average cubic metres of air
space required per soldier

Answer 1

Answer:

hope it's correct and help full

Answer 2

⛦Given :-

A military tent is in the form of a circular cone of vertical height is 6 m, the diameter of the base being 7 m.

If 12 soldiers can sleep in it.

⛦To Find :-

What is the average cubic metre of air space required per soldiers.

⛦Formula Used :-

➲ Volume of Cone = 1/3πr²h

where,

• r = Radius
• h = Height

⛦Solution :-

First, we have to find the radius a circular cone :

We know that,

➲ Radius = Diameter/2

Then,

Given : Diameter = 7 m

According to the question by using the formula we get,

↦ Radius = 7/2

➦ Radius = 3.5 m

Now, we have to find the volume of a circular cone,

Given :

Height = 6 m

Radius = 3.5 m

According to the question by using the formula we get,

➡ Volume of circular cone :

⇒ 1/3 × 22/7 × (3.5)² × 6

⇒ 1/3 × 22/7 × 3.5 × 3.5 × 6

⇒ 1/3 × 22/7 × 12.25 × 6

⇒ 22/7 × 12.25 × 2

⇒ 22/7 × 24.5

➠ 77 m³

Hence, the volume of circular cone is 77 m³.

Now, we have to find the average cubic metre of air space required per soldiers,

As we know that,

➲ The average cubic metre of air space required per soldiers = Volume of circular cone/Total soldiers

Given :

Volume of circular cone = 77 m³

Total soldiers = 12

According to the question by using the formula we get,

⇒ The average cubic metre of air space required per soldiers,

⇒ 77/12

➦ 6.42 m³

∴ The average cubic metre of air space required per soldiers is 6.42 m³.