Answer:
283 cm^2
Step-by-step explanation:
Solution:-
We have a cone with a circular base of radius r = 5 cm
The height of the cone is h = 12 cm
The slant height of the cone is L = 13 cm
We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:
Base Area : Circle
[tex]A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi[/tex]
Curved Surface: conical
[tex]A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi[/tex]
The total surface area of the cone can be written as ( A ):
[tex]A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2[/tex]
Answer: The surface area of the cone to nearest whole number would be 283 cm^2
