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The area surrounded by a conical tent is 4526 m2. If the cost of canvas is Rs. 17 per square meter, then find the total cost of canvas.​
  • a)
    Rs. 52100
  • b)
    Rs. 76942
  • c)
    Rs. 65000
  • d)
    Rs. 85246
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The area surrounded by a conical tent is 4526 m2. If the cost of canva...
total cost = area of canvas used x cost of per meter square canvas
= 4526 x 17 
= Rs. 76942
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Most Upvoted Answer
The area surrounded by a conical tent is 4526 m2. If the cost of canva...
To find the total cost of canvas, we need to first calculate the curved surface area of the cone-shaped tent and then multiply it by the cost per square meter.

Given:
Area surrounded by the conical tent = 4526 m^2
Cost of canvas = Rs. 17 per square meter

Step 1: Calculating the Slant Height of the Cone
The curved surface area of a cone is given by the formula:
Curved Surface Area = π * r * l
where r is the radius of the base and l is the slant height of the cone.

Since we are given the curved surface area and the radius is not given, we need to find the slant height first.

Curved Surface Area = 4526 m^2

We know that the formula for the curved surface area of a cone can be written as:
Curved Surface Area = π * r * l

Rearranging the formula, we get:
l = Curved Surface Area / (π * r)

l = 4526 / (π * r) ----(1)

Step 2: Calculating the Radius of the Cone
Next, we need to find the radius of the cone. The radius can be calculated using the formula for the area of a circle.

Area of Circle = π * r^2

Given: Area of Circle = 4526 m^2

Rearranging the formula, we get:
r = √(Area of Circle / π)

r = √(4526 / π) ----(2)

Step 3: Substituting the Values and Calculating the Slant Height
Now, we substitute the value of r from equation (2) into equation (1) to find the slant height.

l = 4526 / (π * √(4526 / π))

l = 4526 / √4526

l ≈ 67.3 m

Step 4: Calculating the Curved Surface Area of the Cone
Now that we have the slant height, we can calculate the curved surface area of the cone using the formula:

Curved Surface Area = π * r * l

Curved Surface Area = π * (√(4526 / π)) * 67.3

Curved Surface Area ≈ 4526 m^2

Step 5: Calculating the Total Cost of Canvas
Finally, we can calculate the total cost of the canvas by multiplying the curved surface area by the cost per square meter.

Total Cost of Canvas = Curved Surface Area * Cost per square meter

Total Cost of Canvas = 4526 * 17

Total Cost of Canvas ≈ Rs. 76942

Therefore, the total cost of canvas is approximately Rs. 76942.
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Community Answer
The area surrounded by a conical tent is 4526 m2. If the cost of canva...
total cost = area of canvas used x cost of per meter square canvas
= 4526 x 17 
= Rs. 76942
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The area surrounded by a conical tent is 4526 m2. If the cost of canvas is Rs. 17 per square meter, then find the total cost of canvas.​a)Rs. 52100b)Rs. 76942c)Rs. 65000d)Rs. 85246Correct answer is option 'B'. Can you explain this answer?
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