Two similar cones have matching heights and radii whose lengths are in the ratio 7:1 Find the ratio of their surface areas.

surface area ratio = 49/1 = 49

Step-by-step explanation:

Two solid figure are similar when they have the same shape and the ratio of their corresponding sides are proportional.

Therefore the ratio of their surface area is the side ratio squared.

For a similar shape the ratio of their surface area is the squared of the scaled factor.

The ratio can be represented as a/b, therefore the surface area ratio can then be represented as (a/b) ². Therefore,

7:1 or 7/1

The surface area ratio = (7/1) ²

surface area ratio = 49/1 = 49