Answer:
414.48 cm²
Explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Slant height (l) = 16 cm
Diameter (d) = 12 cm
Surface Area (SA) =....?
Next, we shall determine the radius.
This can be obtained as follow:
Diameter (d) = 12 cm
Radius (r) =..?
Radius (r) = diameter (d) /2
r = d/2
r = 12/2
r = 6 cm
Finally, we shall determine the surface area of the cone as follow:
Pi (π) = 3.14
Slant height (l) = 16 cm
Radius (r) = 6 cm
Surface Area (SA) =....?
SA = πr² + πrl
SA = (3.14 × 6²) + (3.14 × 6 × 16)
SA = (3.14 × 36) + 301.44
SA = 113.04 + 301.44
SA = 414.48 cm²
Therefore, the surface area of the cone is 414.48 cm²