Question

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
a) 2 : 3
b) 4 : 9
c) 3 : 2
d) 9 : 4
Also explain your answer.​

Answer 1

Answer:

d)9:4

Step-by-step explanation:

Given,

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

we know volume of cylinder formula π*r^2*h

two cylinder volumes are equal

let r1,h1 is ratio and height of cylinder 1

likewise,

r2,h2 is ratio and height of cylinder 2

volume of cylinder 1=volume of cylinder 2

π*r1^2*h1= π*r2^2*h2

we know that r1:r2=2:3

then,

π*2^2*h1=π*3^2*h2

h1/h2=9/4