Question

The radius of a conical tent is 7 meters and its height is 10 meters. Calculate the length of canvas used in making the tent if width of canvas is 2m. (Use π = 22/7)

Answer 1

Answer:

Step-by-step explanation:

Radius of a conical tent = 7m (Given)

Height of the conical tent = 10m (Given)

Width of the canvas = 2m (Given)

Surface area of the cone = πrl  

= 7 × 7+10 × 10

= 49+100

= 149

Since width of the canvas is 2, thus length -  

= 149/2

=74.5

Therefore the length of canvas used in making the tent is 74.5m.

Answer 2

Answer:

134.2. m

Step-by-step explanation:

Given,

Radius of conical tent = 7 m

Height of conical tent = 10 m

Width of canvas = 2 m

First we should find out the slant height of conical tent.

$Slant \: height \: (l) = \sqrt{ {h}^{2} + {r}^{2} }$

$\sqrt{ {10}^{2} + {7}^{2} } \\ \sqrt{100 + 49} \\ \sqrt{149} \\ 12.2 \: m$

$Surface \: area \: of \: conical \: tent = \pi \: r \: l$

$\frac{22}{7} \times 7 \times 12.2 \\ 22 \times 12.2 \\ 268.4 {m}^{2}$

$Length \: of \: canvas \: used \: = \frac{area}{widh}$

$\frac{268.4}{2} = 134.2m$