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The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used?
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The volunteers of NSS erected a conical tent made of tarpaulin in floo...
Slant height of the conical tent:
To find the slant height of the conical tent, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height and the radius of the base of the cone.
Using the given information:
Vertical height of the tent (h) = 3 m
Diameter of the tent (d) = 8 m
We can find the radius (r) by dividing the diameter by 2:
r = d/2 = 8/2 = 4 m
Now, we can use the Pythagorean theorem to find the slant height (l):
l² = r² + h²
l² = 4² + 3²
l² = 16 + 9
l² = 25
l = √25
l = 5 m
Therefore, the slant height of the conical tent is 5 m.
Area of the tarpaulin used:
To find the area of the tarpaulin used, we need to find the lateral surface area of the cone. The lateral surface area of a cone can be calculated using the formula:
Lateral surface area = πr * l, where r is the radius and l is the slant height.
Using the given information:
Radius (r) = 4 m
Slant height (l) = 5 m
Lateral surface area = π * 4 * 5 = 20π ≈ 62.83 m²
Therefore, the area of the tarpaulin used is approximately 62.83 square meters.
Length of the tarpaulin used:
To find the length of the tarpaulin used, we need to calculate the circumference of the base of the cone. The circumference of a circle can be calculated using the formula:
Circumference = πd, where d is the diameter.
Using the given information:
Diameter (d) = 8 m
Circumference = π * 8 = 8π ≈ 25.13 m
Since the width of the tarpaulin is given as 2.5 m, we can calculate the length of the tarpaulin used by multiplying the circumference by the width:
Length of tarpaulin used = Circumference * Width = 25.13 * 2.5 = 62.825 m
Therefore, the length of the tarpaulin used is approximately 62.825 meters.
In conclusion, the slant height of the conical tent is 5 m, the area of the tarpaulin used is approximately 62.83 square meters, and the length of the tarpaulin used is approximately 62.825 meters.
To find the slant height of the conical tent, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height and the radius of the base of the cone.
Using the given information:
Vertical height of the tent (h) = 3 m
Diameter of the tent (d) = 8 m
We can find the radius (r) by dividing the diameter by 2:
r = d/2 = 8/2 = 4 m
Now, we can use the Pythagorean theorem to find the slant height (l):
l² = r² + h²
l² = 4² + 3²
l² = 16 + 9
l² = 25
l = √25
l = 5 m
Therefore, the slant height of the conical tent is 5 m.
Area of the tarpaulin used:
To find the area of the tarpaulin used, we need to find the lateral surface area of the cone. The lateral surface area of a cone can be calculated using the formula:
Lateral surface area = πr * l, where r is the radius and l is the slant height.
Using the given information:
Radius (r) = 4 m
Slant height (l) = 5 m
Lateral surface area = π * 4 * 5 = 20π ≈ 62.83 m²
Therefore, the area of the tarpaulin used is approximately 62.83 square meters.
Length of the tarpaulin used:
To find the length of the tarpaulin used, we need to calculate the circumference of the base of the cone. The circumference of a circle can be calculated using the formula:
Circumference = πd, where d is the diameter.
Using the given information:
Diameter (d) = 8 m
Circumference = π * 8 = 8π ≈ 25.13 m
Since the width of the tarpaulin is given as 2.5 m, we can calculate the length of the tarpaulin used by multiplying the circumference by the width:
Length of tarpaulin used = Circumference * Width = 25.13 * 2.5 = 62.825 m
Therefore, the length of the tarpaulin used is approximately 62.825 meters.
In conclusion, the slant height of the conical tent is 5 m, the area of the tarpaulin used is approximately 62.83 square meters, and the length of the tarpaulin used is approximately 62.825 meters.
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The volunteers of NSS erected a conical tent made of tarpaulin in floo...
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The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used?
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The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? 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 The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used?.
The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? 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 The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used?.
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The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used?, a detailed solution for The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? has been provided alongside types of The volunteers of NSS erected a conical tent made of tarpaulin in flood affected area. if the vertical height and diameter of the conical tent are 3 m and 8 m, respectively and width of tarpaulin 2.5 m, then answer the following . find the slant height of the conical tent. What is the area of the tarpaulin used? What is the length of the tarpaulin used? theory, EduRev gives you an
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