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Two rectangular sheets of sizes 2π × 4π and π × 5π are available. A hollow right circular cylinder can be formed by joining a pair of parallel sides of any sheets. What is the maximum possible volume of the cylinder that can be formed this way?
  • a)
    2
  • b)
    2
  • c)
    1.25π2
  • d)
    6.25π2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two rectangular sheets of sizes 2π × 4π and π × 5...
When a rectangle is formed into a cylinder, the length of the rectangle becomes the circumference of base and breadth becomes the height.
For first rectangle
2πr = 4π
∴ r = 2
h = 2π
Volume = π r2 h
⇒ π × 22 × 2π = 8π2
For second rectangle
2πr = 5π
∴ r = 5/2
h = π
Volume = π r2 h
⇒ π × (5/2)2 × π = 6.25π2
Maximum possible volume = 8π2
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Two rectangular sheets of sizes 2π × 4π and π × 5π are available. A hollow right circular cylinder can be formed by joining a pair of parallel sides of any sheets. What is the maximum possible volume of the cylinder that can be formed this way?a)4π2b)8π2c)1.25π2d)6.25π2Correct answer is option 'B'. Can you explain this answer?
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