Question

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3.calculate the ratio of their curved surface areas

Answer 1

the ratio of radius of cylinders = 2:3

let be the radius of first cylinder = 2x

and radius of second cylinder = 3x


the ratio of height of cylinders = 5:3


let be the hight of first cylinder = 5x

and the hight of second cylinder = 3x




then , covered surface area of first cylinder = 2πrh


=. 2×π×2x×5x


= 20πx²




covered surface area of second cylinder = 2πrh


=. 2×π×3x×3x

= 18πx²




then the ratio of covered surface area of cylinders = 20πx²÷18πx²


= 10/9


= 10:9



hope it helpful for you




please mark it as brainliest answer