The formula for the slant height of a cone is t equals StartFraction S minus pi r squared Over pi EndFraction., where S is surface area of the cone. Use the formula to find the slant height, l, of a cone with a surface area of 500π ft2 and a radius of 15 ft.

275 ft

Step-by-step explanation:

The formula given to use for the slant height l of the cone is;

l = (s - πr^2) / π

Now substituting the parameters given in the question, 500 π for area and radius of 15, we have

l = {500π-15^ (2) π}/π

l = (500 π - 225 π) / π

l = 275 π/π

l = 275 ft