Q. 35.0( 4 Votes )

# Two circular cylinders of equal volumes have their heights in the ratio 1: 2. Find the ratio of their radii.

Answer :

**Concept Used:** Volume of Cylinder = πr^{2}h

**Given:** Ratio of heights of Cylinders = 1:2

**Assumption:** Let r_{1}, h_{1} be the radius and height of cylinder 1 and r_{2}, h_{2} be the radius and height of cylinder 2.

**Explanation:**

Volume of cylinder 1 = volume of cylinder 2

πr_{1}^{2}h_{1} = πr_{2}^{2}h_{2}

**Hence, r _{1}: r_{2} = √2: 1**

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