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The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will be
- a)4657.71 cm2
- b)4757.71 cm2
- c)4677.75 cm2
- d)4557.81 cm2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The total surface area of an open pipe of length 50 cm, external diame...
External diameter = 20 cm ⇒ External radius (R) = 10 cm
Internal diameter = 6 cm ⇒ Internal radius (r) = 3 cm
Surface area of pipe open from both sides
Area of upper and lower part
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The total surface area of an open pipe of length 50 cm, external diame...
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The total surface area of an open pipe of length 50 cm, external diame...
Calculation of Total Surface Area of an Open Pipe:
- Given:
Length of the pipe (L) = 50 cm
External diameter (D) = 20 cm
Internal diameter (d) = 6 cm
Calculate the Radius of the External and Internal Surfaces:
- Radius of the external surface (R1) = D/2 = 20/2 = 10 cm
- Radius of the internal surface (R2) = d/2 = 6/2 = 3 cm
Calculate the Total Surface Area of the Pipe:
- The total surface area of the open pipe can be calculated using the formula:
Total Surface Area = 2π(R1 + R2) L + π(R1^2 - R2^2)
- Substitute the values:
Total Surface Area = 2 * π(10 + 3) * 50 + π((10)^2 - (3)^2)
Total Surface Area = 2 * π * 13 * 50 + π(100 - 9)
Total Surface Area = 2 * 13 * 50π + 91π
Total Surface Area = 1300π + 91π
Total Surface Area = 1391π
Convert the Total Surface Area into cm^2:
- π (pi) is approximately equal to 3.14159
- Total Surface Area = 1391 * 3.14159
Total Surface Area ≈ 4375.97 cm^2
Therefore, the total surface area of the open pipe is approximately 4375.97 cm^2, which is closest to option A (4657.71 cm^2).
- Given:
Length of the pipe (L) = 50 cm
External diameter (D) = 20 cm
Internal diameter (d) = 6 cm
Calculate the Radius of the External and Internal Surfaces:
- Radius of the external surface (R1) = D/2 = 20/2 = 10 cm
- Radius of the internal surface (R2) = d/2 = 6/2 = 3 cm
Calculate the Total Surface Area of the Pipe:
- The total surface area of the open pipe can be calculated using the formula:
Total Surface Area = 2π(R1 + R2) L + π(R1^2 - R2^2)
- Substitute the values:
Total Surface Area = 2 * π(10 + 3) * 50 + π((10)^2 - (3)^2)
Total Surface Area = 2 * π * 13 * 50 + π(100 - 9)
Total Surface Area = 2 * 13 * 50π + 91π
Total Surface Area = 1300π + 91π
Total Surface Area = 1391π
Convert the Total Surface Area into cm^2:
- π (pi) is approximately equal to 3.14159
- Total Surface Area = 1391 * 3.14159
Total Surface Area ≈ 4375.97 cm^2
Therefore, the total surface area of the open pipe is approximately 4375.97 cm^2, which is closest to option A (4657.71 cm^2).
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The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer?
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The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer?.
The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer?.
Solutions for The total surface area of an open pipe of length 50 cm, external diameter 20 cm and internal diameter 6 cm will bea)4657.71 cm2b)4757.71 cm2c)4677.75 cm2d)4557.81 cm2Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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