Answer:
84.96 cm²
Step-by-step explanation:
Since the cylinders are similar then
ratio of heights = 3 : 5 , hence
ratio of areas = 3² : 5² = 9 : 25
let x be the surface area of the smaller cylinder, then by proportion
[tex]\frac{9}{x}[/tex] = [tex]\frac{25}{236}[/tex] ( cross- multiply )
25x = 2124 ( divide both sides by 25 )
x = 84.96
That is the surface area of the smaller cylinder is 84.96 cm²
