The volumes and the heights of a cylinder and a cone are equal. Find the ratio of the radii of their bases.
Let radii of bases of cylinder and cone be r1 and r2 and height be h.
Given, volumes are equal
⇒πr21h=13πr22h
⇒r21r22=13
⇒r1r2=1√3
⇒r1:r2=1:√3.