Two circular cylinders of equal volumes have their heights in the ratio 2 3 What is the ratio of the...........

Quantitative Aptitude (CDS) Mensuration 3D

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Two circular cylinders of equal volumes have their heights in the ratio 2:3.What is the ratio of their radii?

$\sqrt{3}:1$

$\sqrt{3}:\sqrt{2}$

$2:\sqrt{3}$

$\sqrt{3}:2$

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Explanation:

volume of two cylinder are equal (volume =pie r^2*h).

$\pi$ R₁²*H₁= $\pi$ R₂²*H₂ (R₁ & H₁ are radius and height of one cylinder )

(H₂ & H₂ are radius and height of another cylinder )
$(\frac{R1}{R2})^{2}=\frac{H2}{H1}$
$(\frac{R1}{R2})=\sqrt{\frac{H2}{H1}}=\sqrt{\frac{3}{2}}$
$=>\sqrt{3}:\sqrt{2}$

By: Munesh Kumari

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Two circular cylinders of equal volumes have their heights in the ratio 2 3 What is the ratio of the...........

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