A cone with a surface area of 15 pi square inches is enlarged by a scale factor of four to produce a similar cone. What is the surface area of the new cone

60*pi square inches

Step-by-step explanation:

We have a cone that originally has 15 * pi square inches of area, now it tells us that it is enlarged by a scale factor of four, to make a cone with the same shape.

In other words, if it was a cone with a circular base, this new cone will also be a circular base, the same happens if it is a square base.

Therefore, taking this into account, the new cone area is

15 * 4 * pi = 60 * pi

That is, the area of the new cone would be 60*pi square inches.