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Concept Used: Volume of Cylinder = πr2h

Given: Ratio of heights of Cylinders = 1:2

Assumption: Let r1, h1 be the radius and height of cylinder 1 and r2, h2 be the radius and height of cylinder 2.

Explanation:

Volume of cylinder 1 = volume of cylinder 2

πr12h1 = πr22h2  Hence, r1: r2 = √2: 1

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