Two rectangular sheets of sizes 2 X 4 and X 5 are available A hollow right circular cylinder can be ...........

Quantitative Aptitude (CDS) Mensuration 3D

Two rectangular sheets of sizes 2 $\pi$ X 4 $\pi$ and $\pi$ X 5 $\pi$ are available. A hollow right circular cylinder can be formed by joining a pair of parallel sides of any sheet. What is the maximum possible volume of the circular cylinder that can be formed this way?

4 $\pi$ ²

8 $\pi$ ²

1.25 $\pi$ ²

6.25 $\pi$ ²

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Explanation:

The maximum possible volume of the circular cylinder that can be formed from a rectangular sheet will have the largest length and breadth.
So, we will consider the rectangular sheet with length 4π and breadth 2π.
The length of the rectangular sheet = circumference of the cylinder
=>4 π = 2 πr
=>r = 2
Volume of cylinder = πr²h = π×4×2 π = 8 π²