The scale factor relating cone A to cone B is 3:5. Expressing it as a ratio, it is 3/5
If two solids are similar with a scale factor of a/b, then the surface areas are in the ratio of (a/b)^2. For this scenario, the scale factor for the surface areas of the cones is (3/5)^2 = 9/25
Thus, we have
9/25 = surface area of cone A/surface area of cone B
9/25 = surface area of cone A/725
surface area of cone A = (9 x 725)/25
surface area of cone A = 261 ft^2
