Question

Two cylinders of equal volume heights in the ratio of 1:9 The ratio of radii is

Answer 1

Hope this helps. Go through it.

Answer 2

Solutions :-

Given :
Two cylinders of equal volume heights in the ratio of 1 : 9

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 9h


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

Now,

πR²h = πr²9h
=> R² = r²9
=> R² = 9r²
=> R² = (3r)²
=> R = 3r


Hence,
The ratio of radii = 1 : 3

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