A 5m wide cloth is used to make a conical tent of base diameter 14m and height 24m. Find the cost of cloth used at the rate of Rs 25 per metre. [use pie=22/7]
Answers
Answered by
1045
Solution:-
Let the slant height of the cone be 'l' meters.
height = 24 m and diameter = 14 m or radius = 7 m.
Then according to the question.
l² = h² + r²
l² = 24² + 7²
l² = 576 + 49
l² = 625
l = √625
l = 25 m
So, the slant height of the cone is 25 m.
Now,
Curved Surface Area of the cone = πrl
= 22/7*7*25
CSA = 550 sq m
Now, length of the cloth used = Area/ width of the cloth
= 550/5
Length of the cloth used = 110 m
Cost of cloth = Rs. 25 per meter
Total cost of clothe used = 110*25
= Rs. 2750
Answer.
Let the slant height of the cone be 'l' meters.
height = 24 m and diameter = 14 m or radius = 7 m.
Then according to the question.
l² = h² + r²
l² = 24² + 7²
l² = 576 + 49
l² = 625
l = √625
l = 25 m
So, the slant height of the cone is 25 m.
Now,
Curved Surface Area of the cone = πrl
= 22/7*7*25
CSA = 550 sq m
Now, length of the cloth used = Area/ width of the cloth
= 550/5
Length of the cloth used = 110 m
Cost of cloth = Rs. 25 per meter
Total cost of clothe used = 110*25
= Rs. 2750
Answer.
Answered by
202
Answer:
₹2750.
Step-by-step explanation:
∴ slant height, l = √(r2 + h2) = √(49 + 576) = √625 = 25 m
CSA of the cone = πrl = (22/7) x 7 x 25 = 550 m2
Area of the cloth used = 550 m2
given, width of the cloth = 5 m
Length of the cloth used = Area/Width = 550 / 5 = 110 m.
Total cost, at the rate of ₹25/m = length×price =110×25 = ₹2750.
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