Question

3. Two right circular cylinders of equal volume are such that their radii are in the ratio
2 : 3. The ratio of their heights will be​

Answer 1

Answer:

let the radius of cylinder is 2x and 3x

volume of cylinder 1 is = πr1^²h1

volume of cylinder 2 is = πr2^²h2

so,

a/q to question

πr1^²h1. = πr2^²h2

(2x)^²h1 = (3x)^² h2

4x². h1. =. 9x² h2

h1/h2 = 9x²/4x²

h1/h2. = 9/4

the ratio of their height will be 9:4