These cones are similar. find the surface
area of the smaller cone. round to the
nearest tenth.

17.8 cm²

Step-by-step explanation:

Given 2 similar figures with linear ratio = a : b, then

ratio of areas = a² : b²

For the 2 similar cones

ratio of radii = 2 : 5, hence

ratio of areas = 2² : 5² = 4 : 25

Let x be the area of the smaller cone then by proportion

= ( cross- multiply )

25x = 444 ( divide both sides by 25 )

x = 17.76

Hence area of smaller cone = 17.8 cm² ( to the nearest tenth )

answer are

step-by-step explanation: