Math, asked by SDshzu, 6 months ago

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?

Answers

Answered by BRAINLYADDICTOR

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Find:

★Length of the canvas(l)=?

Given,

★Radius of the conical tent(r)= 7m

★Height of the conical tent(h)= 10m

★Width of the canvad tent=2m

Solution:

★So, the slant height of the cone ${l^2=r^2+h^2}$

➡️ ${l^2=7^2+10^2}$

➡️ ${l^2=49+100}$

➡️ ${l^2=149}$

➡️ ${l=+-12.2}$

★So, the slant height (l)=12.2m (+ve)

Here,

$surface \: area \: of \: the \: tent = \pi \: rl \\ = > 22 \div 7(7)(12.2) \\ = > 268.4m {}^{2} \\ area \: of \: the \: canvas \: used = 268.4m {}^{2} \\$

Given,width of the canvas tent=2m

Length of the canvas used=Area/width

➡️268.4/2

➡️134.2m

★So, the length of the canvas tent used (l) =134.2m

Answered by srikanthn711

Answer:

Given :-

The radius of a conical tent is 7m

And height of a conical tent is 10m

To find :-

Calculate the

length of canvas used in making the tent if width of canvas is 2m?

Formulae:-

Curved surface area of a cone= $\pi \: rl$

Solution :-

∴ to find the slant height of the cone

${l}^{2} = {r}^{2} + {h}^{2} \\ = > {l}^{2} = \sqrt{r + h} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{49 + 100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{149} = 12.2m$

$csa = \pi \: rl \\ \frac{22}{7} \times 7 \times 12.2 \\ = 22 \times 12.2 \\ = 268.4 {m}^{2} \\$

Area of canvas used =268.4m

Width of canvas =2 m

$\frac{area}{width} = \frac{268}{2} = 134.2m$

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