To calculate the surface area of a cone, we can use the known formula where r is the radius of the base and l is the slant height of the cone.
S=Ï€ rl+Ï€ r^2
We can see that the length of radius is 4ft. To find the slant height, we can use the Pythagorean Theorem. When doing this, the slant height l is the hypotenuse. The height of the cone and radius of the base are the legs. Let's use these given values to solve for l.
The length of the slant height is sqrt(116). Now we have all the information we need to calculate the surface area of the cone. By substituting r with 4 and l with sqrt(116) into the formula, we can calculate S. Let's do it!
