Question

Two right circular cylinders of equal volume are such that their radii are in the ratio 2:3 find the ratio of their heights

Answer 1

Answer:

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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