Question

A conical tent 10m high and the radius of its base is 24m find the cost of the canvas required to make the tent , if the cost of 1m2 canvas is ₹750

Answer 1

$\textsf {Hey !!..}$

The answer goes here....

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》To find -

Cost of canvas required to make the tent.

》Given -

h = 10 m

r = 24 m

Rate = Rs 750

》Solution -

In order to find the cost of canvas required to make the tent, we need to find the surface area of the cone for which we need to calculate the slant height.

So, the slant height -

⇒ $\sqrt{Height^{2}+radius^{2}}$

⇒ $\sqrt{10^{2}+24^{2}}$

⇒ 26 m

So, the slant height of the cone is 26 m.

Now, total surface area -

⇒ $\pi r\times slant\:height$

⇒ $\frac{22}{7}\times 24\times 26$

⇒ $1961.14\:m^{2}$

So, the total surface area of the cone is $1961.14\:m^{2}$ .

Now, the cost -

⇒ rate × total surface area

⇒ $750\times 1961.14$

⇒ $1470855$ Rupees.

So, the cost of canvas required to make tent is 1470855 Rupees.

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Thanks !!..

Answer 2

Answer -

Given that the height of cone is 10 m and radius is 24 m.

Slant height = $\sqrt{{height}^{2}+{radius}^{2}}$

==> $\sqrt{{10}^{2}+24^{2}}$

==> 26 m

TSA -

==> $\pi$ × r × slant height

==> 22/7 × 24 × 26

Cost -

==> Rate × TSA

==> 22/7 × 24 × 26 × 750

==> 1470855