Math, asked by newtismypotato139, 1 year ago

Volume of two cylinders of same height are in the ratio of 1: 16 . What is the ratio of there radii

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Answered by SamRaiden
12
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Answered by Anonymous
10
Solutions :-

Given :
Two cylinders of equal volume heights in the ratio of 1 : 16

Let the radius of one cylinder be R
Radius of other cylinder be r

Let the height of one cylinder be h
Height of other cylinder be 16h

We know that,
Volume of cylinder = πr²h cu. unit

Now,

πR²h = πr²16h
=> R² = r²16
=> R² = 16r²
=> R² = (4r)²
=> R = 4r

Hence,
The ratio of radii = 1 : 4

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