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=π rl+π r^2
From the diagram, we know that the diameter of the cone's base is 4inches. By dividing it by 2, we get the radius of the base.
r=4in./2=2in.
We are told that the slant height of the cone equals 6inches. By substituting r with 2 and l with 6 into the formula, we can calculate S.