Question

if the ratio of the Radii of two cylinder of equal heights is 2:3 then find the ratio of their curved surface

Answer 1

$\dfrac{\text {Area 1}}{\text {Area 2}} = \bigg ( \dfrac{\text {length 1}}{\text {length 2}} \bigg )^2$

$\dfrac{\text {Area 1}}{\text {Area 2}} = \bigg ( \dfrac{2}{3} \bigg )^2$

$\dfrac{\text {Area 1}}{\text {Area 2}} = \dfrac{4}{9}$

Answer: The ratio of the curved surface area is 4 : 9