Question

Two cylinders of same volume have their heights in the ratio 1:4. Find the ratio of their radii

Answer 1

The ratio of height of the two cylinders = 1:4

Let the heights of two cylinders be h and 4h

respectively.

Let the radii of two cylinders be x and y respectively.

A.T.Q.

$\pi {x}^{2} h \: = \pi {y}^{2} 4h \\ \\ or \: {x}^{2} \: = {y}^{2} 4 \\ \\ or \: \frac{ {x}^{2} }{ {y}^{2} } = \frac{4}{1} \\ \\ or \: \sqrt{ \frac{ {x}^{2} }{ {y}^{2} } } = \sqrt{ \frac{4}{1} } \\ \\ or \: \frac{x}{y} = \frac{2}{1}$
Hence, the ratio of radii of two cylinders is 2:1
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Answer 2

Answer:

2:1

Step-by-step explanation:

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