How many metres of cloth 2 metres wide will be required to make a conical tent with the diameter of the base being 14 metres and its slant height being 9.5 metres?
(Use π =22/7 )

The correct option is 104.5.

To find the length of the cloth required to make the conical tent, we first need to determine the curved surface area of the cone. The cloth is wrapped around the cone, so the area of the rectangular cloth used must equal the curved surface area of the conical tent.

First, let's identify the given dimensions of the conical tent:
Diameter of the base (d) = 14 metres
Radius of the base (r) = d / 2 = 14 / 2 = 7 metres
Slant height of the cone (l) = 9.5 metres
Value of π to be used = 22/7

The formula for the curved surface area (A) of a cone is:

$A=\pi rl$

Substituting the given values into the formula:

$A=\frac{22}{7}\times 7\times 9.5$

$A=22\times 9.5$

$A=209\text{ square metres}$

The width of the rectangular cloth is given as 2 metres. Let the length of the cloth required be L. The area of the rectangular cloth is given by:

$\text{Area of cloth}=\text{Length}\times \text{Width}$

$209=L\times 2$

Solving for L:

$L=\frac{209}{2}$

$L=104.5\text{ metres}$

Therefore, 104.5 metres of cloth will be required to make the conical tent.