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What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm?
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What length of tarpolin 3 m which will be required to make the colonic...
Introduction
To determine the length of tarpaulin required for a conical tent, we will calculate the surface area of the conical structure and then add extra material for margins and wastage.
Parameters of the Tent
- Height (h) = 8 m
- Radius of the base (r) = 6 m
- Extra material for margins and wastage = 2 cm = 0.02 m
Surface Area of the Conical Tent
The formula to calculate the lateral surface area (A) of a cone is:
A = πr√(r² + h²)
- Calculate the slant height (l):
- l = √(r² + h²)
- l = √(6² + 8²) = √(36 + 64) = √100 = 10 m
- Now, plug the values into the area formula:
- A = π × 6 × 10
- A ≈ 3.14 × 60 = 188.4 m²
Additional Material Requirement
Now, we must account for the extra length of 0.02 m for margins and wastage:
- Total length of tarpaulin = Surface Area + Extra Material
- Total length of tarpaulin = 188.4 m² + 0.02 m
Since the total length needed is primarily based on the surface area, the extra material does not significantly affect the area calculation.
Final Calculation
- Therefore, the total length of tarpaulin required is approximately 188.42 m².
Conclusion
For constructing the conical tent with a height of 8 m and a base radius of 6 m, approximately 188.42 m² of tarpaulin will be needed, including allowances for stretching margins and wastage.
To determine the length of tarpaulin required for a conical tent, we will calculate the surface area of the conical structure and then add extra material for margins and wastage.
Parameters of the Tent
- Height (h) = 8 m
- Radius of the base (r) = 6 m
- Extra material for margins and wastage = 2 cm = 0.02 m
Surface Area of the Conical Tent
The formula to calculate the lateral surface area (A) of a cone is:
A = πr√(r² + h²)
- Calculate the slant height (l):
- l = √(r² + h²)
- l = √(6² + 8²) = √(36 + 64) = √100 = 10 m
- Now, plug the values into the area formula:
- A = π × 6 × 10
- A ≈ 3.14 × 60 = 188.4 m²
Additional Material Requirement
Now, we must account for the extra length of 0.02 m for margins and wastage:
- Total length of tarpaulin = Surface Area + Extra Material
- Total length of tarpaulin = 188.4 m² + 0.02 m
Since the total length needed is primarily based on the surface area, the extra material does not significantly affect the area calculation.
Final Calculation
- Therefore, the total length of tarpaulin required is approximately 188.42 m².
Conclusion
For constructing the conical tent with a height of 8 m and a base radius of 6 m, approximately 188.42 m² of tarpaulin will be needed, including allowances for stretching margins and wastage.
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What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm?
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What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm?.
What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What length of tarpolin 3 m which will be required to make the colonical tent of height 8 m and base of radius 6 m assume that the extra length of material that will be required for stretching margins and wastage in the cutting in approximately 2 cm?.
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