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A hollow cylindrical tube open at both ends is made of plastic 4 cm thick. If the external diameter be 54 cm and the length of the tube be 490 cm, find the volume of plastic.
- a)320000 cm³
- b)340000 cm³
- c)306300 cm³
- d)308000 cm³
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A hollow cylindrical tube open at both ends is made of plastic 4 cm th...
External Radius = 27; Internal Radius = 23
Volume of Plastic =πh(R² – r²) = 22/7 * 490(27² – 23²) = 308000 cm³
Volume of Plastic =πh(R² – r²) = 22/7 * 490(27² – 23²) = 308000 cm³
Most Upvoted Answer
A hollow cylindrical tube open at both ends is made of plastic 4 cm th...
To find the volume of the plastic, we need to find the volume of the outer cylinder and subtract the volume of the inner cylinder.
The outer cylinder has a diameter of 54 cm and a thickness of 4 cm, so the inner diameter is 54 cm - 2 * 4 cm = 46 cm.
The volume of the outer cylinder is given by Vouter = π * (54/2)^2 * 490 cm^3 = π * 27^2 * 490 cm^3.
The volume of the inner cylinder is given by Vinner = π * (46/2)^2 * 490 cm^3 = π * 23^2 * 490 cm^3.
Therefore, the volume of the plastic is Vouter - Vinner = π * 27^2 * 490 cm^3 - π * 23^2 * 490 cm^3 = π * (27^2 - 23^2) * 490 cm^3.
Simplifying this expression, we find that the volume of the plastic is approximately 320,000 cm^3.
Therefore, the correct answer is a) 320,000 cm^3.
The outer cylinder has a diameter of 54 cm and a thickness of 4 cm, so the inner diameter is 54 cm - 2 * 4 cm = 46 cm.
The volume of the outer cylinder is given by Vouter = π * (54/2)^2 * 490 cm^3 = π * 27^2 * 490 cm^3.
The volume of the inner cylinder is given by Vinner = π * (46/2)^2 * 490 cm^3 = π * 23^2 * 490 cm^3.
Therefore, the volume of the plastic is Vouter - Vinner = π * 27^2 * 490 cm^3 - π * 23^2 * 490 cm^3 = π * (27^2 - 23^2) * 490 cm^3.
Simplifying this expression, we find that the volume of the plastic is approximately 320,000 cm^3.
Therefore, the correct answer is a) 320,000 cm^3.
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A hollow cylindrical tube open at both ends is made of plastic 4 cm thick. If the external diameter be 54 cm and the length of the tube be 490 cm, find the volume of plastic.a)320000 cm³b)340000 cm³c)306300 cm³d)308000 cm³e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A hollow cylindrical tube open at both ends is made of plastic 4 cm thick. If the external diameter be 54 cm and the length of the tube be 490 cm, find the volume of plastic.a)320000 cm³b)340000 cm³c)306300 cm³d)308000 cm³e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A hollow cylindrical tube open at both ends is made of plastic 4 cm thick. If the external diameter be 54 cm and the length of the tube be 490 cm, find the volume of plastic.a)320000 cm³b)340000 cm³c)306300 cm³d)308000 cm³e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hollow cylindrical tube open at both ends is made of plastic 4 cm thick. If the external diameter be 54 cm and the length of the tube be 490 cm, find the volume of plastic.a)320000 cm³b)340000 cm³c)306300 cm³d)308000 cm³e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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