Question

How many metres of clothes 5 metre wide will be required to make a conical tent radius of whose base is 7 m and height is 24 m?

Answer 1

$\mathfrak{\huge{Hola!}}$❤

The curved surface area of the cloth and the cone formed will be equal.

Therefore, answer;

$\pi rl = l \times b$

The length of the tent can be found by;

$l = \sqrt{ {h}^{2} + {r}^{2} }$

$l = \sqrt{ 24^{2} + 7^{2}}$

=》 $l = \sqrt{ 576 + 49}$

=》 $l = \sqrt {625 }$

=》 $\textbf{ l = 25 m}$

C.S.A. of cone = Area of cloth

=》 $\pi \times 7 \times 25 = 5 \times x$ (Let x be the width. Thus, area = 5x)

=》 22 × 25 = 5x

=》 550 = 5x

=》 $\textbf{x = 110 m}$

Hope my answer Helps!❤

Cheers!!