Question

volume of two cylinder of same height are in ratio of 1 ratio 16 what is the ratio of their radii

Answer 1

hey
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volume of cylinder =πr^2h

both the heights are equal

let height be y and radius be x

π×x^2×y^2/π×x^2×y^2

ratio will be 1:16

for the calculation refer to the attachment

hope helped
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Answer 2

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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