Question

A conical tent is 10m high and the radius of its base is 24m find the cost of canvas required to make the tent if 1m square of canvas is rupee 70

Answer 1

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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 70

》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 -



h2+r2 under root

⇒ (10)2+(24)2 under root

⇒ 26 m

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

Now, total surface area -

⇒ pie × r×l

⇒ π×24×26

⇒ 1961.14 m2

So, the total surface area of the cone is .

Now, the cost -

⇒ rate × total surface area


⇒ 70×1961.14

⇒ Rupees. 137279

So, the cost of canvas required to make tent is 137279 Rupees.

Answer 2

given :-

height of the conical tent = 10m

base radius of the conical tent = 24m

here, we have to find the cost of canvas required to make the tent.

so first of all, we have to find it's area. and to find it's area, we need to find the slant height of the conical tent.

by Pythagoras theorem,

➡ l²(slant height) = r²(radius) + h²(height)

➡ l = √(r² + h²)

➡ l = √(24² + 10²)

➡ l = √(576 + 100)

➡ l = √676

➡ l = 26m

the slant height of the cone is 26m.

therefore it's surface area = πrl

= 22/7 × 24 × 26

= 13728/7cm²

hence, total cost @ rupees 70 per m² = 13728/7 × 70

= 13728 × 10

= rupees 137280