Question

the ratio of height of two cylinders is 4:5 and the ratio of their volume is 9:5 find the ratio of their radii

Answer 1

The ratio of radii =3/2

Answer 2

Hey


Ratio of heights = 4 : 5


Let the ratio constant be x


So ,

h1 = 4x

h2 = 5x


Now ,


Ratio of their volumes = 9 : 5

Let ratio constant be y


So ,

V1 = 9y

V2 = 5y


Now ,


pie * ( r1 ) ² * h1 / pie * ( r2 ) ² * h2 = 9y / 5y


=> ( r1 ) ² * 4x / ( r2 ) ² * 5x = 9 / 5


=> ( r1 ) ² / ( r2 ) ² = 9 / 4

=> r1 / r2 = 3 / 2


So ,

ratio is 3 : 2


thanks :)