Question

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

Answer 1

Answer

Step-by-step explanation:

Volime of cylinder 1=volume of cylinder 2

h1:h2=1:2

r1:r2=?

r12*h/r22*h=r12*/r22*×2=2:1

Answer 2

Step-by-step explanation:

let small height be h

large height. be H

Given that h/H=1/2

so common factor be x

x And 2x of their heights

πr^2h =πR^H

πr^2x=πR^2.2x

1/2= R^2/r^2

1/√2= R/r

ratio of radii si 1:√2