Question

a conical tent is 10 M high and the radius of its base is 24 M. find the cost of the Canvas required to make the tent if the cost of 1 metre square Canvas is Rs70

Answer 1

Right circular cone:
If a right angled triangle is revolved about one of the two sides forming a right angle keeping the other side fixed in position then the solid so obtained by segments is called right circular cone.
Slant height:
The length of the line segment joining the vertex to any point on a circular edge of the base is called the slant height of the cone.
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Given:
Radius of the base (r) = 24 mHeight of the conical tent (h) = 10 m

Let l be the slant height of the cone.
We know thatl²= r²+h² l = √h²+r² l = √10²+ 24²l = √100 + 576l = 26 m
Slant height (l)= 26 m

(ii) Canvas required to make the conical tent = Curved surface of the cone

Cost of 1 m2 canvas = ₹70

C.S.A of tent= πrl
= (22/7 × 24 × 26)
 = 13728/7 m²

∴ Cost of canvas = ₹ 13728/7 × 70 = ₹137280
Hence, required cost of the Canvas is  ₹137280
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Hope this will help you....

Answer 2

Hi there!

Given:

Radius of the base (r) = 24 m
Height of the conical tent (h) = 10 m

Let l be the slant height of the cone.

We know that,

l²= r² + h²

l = √h² + r²

l = √10² + 24²

l = √100 + 576

l = 26 m

Slant height (l)= 26 m

Canvas required to make the conical tent = Curved surface of the cone

Cost of 1 m² canvas = ₹ 70

C.S.A of tent= πrl

= (22/7 × 24 × 26)

= 13728/7 m²

∴ Cost of canvas = ₹ 13728/7 × 70 = ₹ 1, 37, 280

Hence,
required cost of the Canvas is  ₹ 1, 37, 280

[ Thank you! for asking the question. ]
Hope it helps!