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A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m2 is
- a)Rs 10000
- b)Rs 12000
- c)Rs 11000
- d)Rs 9000
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A conical tent is 15 m high and the radius of its base is 20 m. The co...
Given-Height-h-15m, radius-r-20m
So, l=√(r)²+(h)²
=√(20)²+(15)²=√400+225=√625=25m
Now, CSA of conical tent=πrl
=22/7×20×25
=11000/7cm²
Total cost of canvas required to mke tent=Area of conical tent×rate per m²
=11000/7×7
=₹11000, so option 'C' is correct
So, l=√(r)²+(h)²
=√(20)²+(15)²=√400+225=√625=25m
Now, CSA of conical tent=πrl
=22/7×20×25
=11000/7cm²
Total cost of canvas required to mke tent=Area of conical tent×rate per m²
=11000/7×7
=₹11000, so option 'C' is correct
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A conical tent is 15 m high and the radius of its base is 20 m. The co...
To find the cost of the canvas required to make the tent, we need to calculate the total surface area of the tent and then multiply it by the cost per square meter.
1. Finding the slant height of the cone:
The slant height can be found using the Pythagorean theorem as follows:
Slant height (l) = √(radius^2 + height^2)
l = √(20^2 + 15^2)
l = √(400 + 225)
l = √625
l = 25 m
2. Finding the curved surface area of the cone:
The curved surface area (CSA) of a cone can be calculated using the formula:
CSA = π * radius * slant height
CSA = π * 20 * 25
CSA = 500π m²
3. Finding the cost of the canvas:
The cost of the canvas required is given as Rs 7 per square meter. Therefore, the total cost can be calculated by multiplying the CSA by the cost per square meter:
Cost = CSA * Cost per square meter
Cost = 500π * 7
Cost ≈ 11000 Rs
Therefore, the cost of the canvas required to make the tent at the rate of Rs 7 per m² is approximately Rs 11000.
1. Finding the slant height of the cone:
The slant height can be found using the Pythagorean theorem as follows:
Slant height (l) = √(radius^2 + height^2)
l = √(20^2 + 15^2)
l = √(400 + 225)
l = √625
l = 25 m
2. Finding the curved surface area of the cone:
The curved surface area (CSA) of a cone can be calculated using the formula:
CSA = π * radius * slant height
CSA = π * 20 * 25
CSA = 500π m²
3. Finding the cost of the canvas:
The cost of the canvas required is given as Rs 7 per square meter. Therefore, the total cost can be calculated by multiplying the CSA by the cost per square meter:
Cost = CSA * Cost per square meter
Cost = 500π * 7
Cost ≈ 11000 Rs
Therefore, the cost of the canvas required to make the tent at the rate of Rs 7 per m² is approximately Rs 11000.
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A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m2isa)Rs 10000b)Rs 12000c)Rs 11000d)Rs 9000Correct answer is option 'C'. Can you explain this answer?
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