Answer:
≈ 33.3 cm²
Step-by-step explanation:
Given the linear ratio of 2 similar cones = a : b , then
ratio of their areas = a² : b²
Here the ratio of radii = 2 : 3 , thus
ratio of areas = 2² : 3² = 4 : 9
let x be the area of the smaller cone then by proportion
[tex]\frac{4}{x}[/tex] = [tex]\frac{9}{75}[/tex] ( cross- multiply )
9x = 300 ( divide both sides by 9 )
x = 33.33333
Thus
surface area of smaller cone ≈ 33.3 cm² ( nearest tenth )
