A conical tent is 10m high and the radius of its base is 24m find
1. slant height of the tent
2. cost of canvas required for the tent, if the cost of 1m² is Rs 140
Answers
Answer:
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 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
(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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