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≈ 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

= ( cross- multiply )

9x = 300 ( divide both sides by 9 )

x = 33.33333

Thus

surface area of smaller cone ≈ 33.3 cm² ( nearest tenth )