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Two circular cylinders of equals volume have their heights in the ratio 1 : 2 Ratio of their radii is?

1 : √2
√2 : 1
1 : 2
1 : 4

Correct Answer: √2 : 1

Explanation:

Let their height be h and 2h radii be x and y respectively.
Then, πx²h = πy²(2h)
⇒ x²/y² = 2/1
∴ x/y = √2 / 1 = √2 : 1

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