A 5 m wide cloth is used to make


Asked by admin @ in Math viewed by 340 People


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]

Answered by admin @



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.

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