Question

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

Answer 1

Given:

A military tent is in the form of a right circular cone of vertical height 6m, the diameter of the base being 7m. If 12 soldiers can sleep in it.

To find:

The average cubic meter of airspace required per soldier.

Explanation:

We have,

Height of the circular cone= 6m

Diameter of the circular cone= 7m

Radius of the circular cone= 7/2m [r= 3.5m]

We know that formula of the volume of the cone:

Therefore,

Volume of the right circular cone=

Volume of the right circular cone=

Volume of the right circular cone= (22×0.5×3.5×2)m³

Volume of the right circular cone= 77m³.

So,

This volume is shared by 12 soldiers.

The average cubic meter of airspace required per soldier=

The airspace required per soldier=

The airspace required per soldier=

Thus,

The airspace required per soldier= 6.41m³.

Answer 2

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☃ ƛƝƧƜЄƦ ☃

$\small \red {{Height \: of \: the \: cone \: , h \: = 6 m}} \\ \\ \small \blue{{Diameter \: of \: the \: base \: of \: the \: cone \: = 7 m .}} \\ \\ \small \green{Radius \: of \: base \: ,r \: = \frac{7}{2} \: m} \\ \\ \small \orange{{Volume \: of \: cone = \frac{1}{3}\pi \: r^{2} \: h = \frac{1}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 6 = 77 \: m^{3} }} \\ \\ \small \blue{{Number of soilders = 12.}} \\ \\ \small \therefore \pink{{ Air \: space \: required \: per \: head \: \: = \frac{77}{12} = 6.4 \: cu.m / \: soldier. }}$

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