Question

Two circular cylinders of equal volume have their Heights in the ratio 1:2. Find the ratio of their radii.

Answer 1

Hi,

The volume of cylinder = πr²h

and given ratio of radius = 1:2
let radius of 1st cylinder= 1r
and 2nd = 2r

and let
the height of 1st cylinder= h1
and 2nd = h2

given volume are equal

therefore
π(1r)²h1 = π(2r)²h2
π1rh1 = π4rh2
1h1 = 4h2 .......... cancel out π, r

now
h1/h2 = 4:1

or 1:4

therefore your answer is 1:4

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