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A solid cylinder has a total surface area of 231 cm2, its curved surface area is 2/3 of the total surface area. What is the volume of the cylinder?
- a)439/2 cm3
- b)539/2 cm3
- c)639/2 cm3
- d)339/2 cm3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A solid cylinder has a total surface area of 231 cm2, its curved surfa...
Calculation:
Let the radius and height of the cylinder be r and h respectively,
Total surface area = 231 cm2,
⇒ 2πr(r + h) = 231 ----(1)
Curved surface area is 2/3 of the total surface area,
⇒ 2πrh = 2/3 × 2πr(r + h)
⇒ h = 2r ----(2)
From equation 1 and 2,
⇒ h = 7 cm and r = 7/2 cm
Volume of Cylinder = πr2h
⇒ Volume of cylinder = 539/2 cm3
∴ The volume of cylinder is 539/2 cm3
Most Upvoted Answer
A solid cylinder has a total surface area of 231 cm2, its curved surfa...
Calculation:
Let the radius and height of the cylinder be r and h respectively,
Total surface area = 231 cm2,
⇒ 2πr(r + h) = 231 ----(1)
Curved surface area is 2/3 of the total surface area,
⇒ 2πrh = 2/3 × 2πr(r + h)
⇒ h = 2r ----(2)
From equation 1 and 2,
⇒ h = 7 cm and r = 7/2 cm
Volume of Cylinder = πr2h
⇒ Volume of cylinder = 539/2 cm3
∴ The volume of cylinder is 539/2 cm3
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A solid cylinder has a total surface area of 231 cm2, its curved surface area is 2/3 of the total surface area. What is the volume of the cylinder?a)439/2 cm3b)539/2 cm3c)639/2 cm3d)339/2 cm3Correct answer is option 'B'. Can you explain this answer?
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A solid cylinder has a total surface area of 231 cm2, its curved surface area is 2/3 of the total surface area. What is the volume of the cylinder?a)439/2 cm3b)539/2 cm3c)639/2 cm3d)339/2 cm3Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A solid cylinder has a total surface area of 231 cm2, its curved surface area is 2/3 of the total surface area. What is the volume of the cylinder?a)439/2 cm3b)539/2 cm3c)639/2 cm3d)339/2 cm3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid cylinder has a total surface area of 231 cm2, its curved surface area is 2/3 of the total surface area. What is the volume of the cylinder?a)439/2 cm3b)539/2 cm3c)639/2 cm3d)339/2 cm3Correct answer is option 'B'. Can you explain this answer?.
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