The radii of two cylinders are in the ratio 3:2 and their heights are in the ratio 4:5. Calculate the ratio of their curved surface areas.
Let r1 and r2 be the radii of the cylinders respectively.
⇒r1r2=32
Let h1 and h2 be the heights of the cylinders respectively.
⇒h1h2=45
Ratio of Curved surface areas=2πr1h12πr2h2
=r1h1r2h2
=r1r2×h1h2
=32×45
=1210=65
Hence,ratio of their curved surface areas is 6:5