Find the slant height of a cone

[isabel23]

Hello! First of all, thank you for taking the time to help me! Second of all, I need help with this problem. I have to find the slant height of this cone but I only have the surface area and the diameter.

 

[lev888]

View attachment 18090

Hello! First of all, thank you for taking the time to help me! Second of all, I need help with this problem. I have to find the slant height of this cone but I only have the surface area and the diameter.

The formula for the surface area might be useful.

 

[Dr.Peterson]

You can find the appropriate formulas here:

Cones - MathBitsNotebook(Geo)

But you will have to decide whether the problem is referring to the lateral surface area or the total surface area. That may be indicated in the context, or you may have to ask.