The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 20 : 27
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Understanding |
Application |
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The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3 |
We know: Volume of cylinder = πr2h So, Ratio of volumes = πr12h1/πr22h2 = 4/9 × 5/3 = 20 : 27 |
Short trick :
The ratio of volume of two cylinders depends upon r2h
Required ratio = (2)2 × 5 : (3)2 × 3
⇒ 20 : 27