Question

two circular cylinder of equal volume have their heights in the ratio 1:2. find the ratio of their radii?

Answer 1

Answer:

Step-by-step explanation:

volume of cylinder 1 = volume of cylinder 2

ratio of their heights = 1:2

let h1 be x and h2 be 2x

volume of cylinder = π*r*r*h

volume of cylinder1/ volume of cylinder2 = π*r1*r1*h1/ π*r2*r2*h2

       1 = r1*r1*x / r2*r2*2x

       2 = (r1 / r2)^2

r1 / r2 = √2

ratio of radii = √2 : 1