Respuesta :

surface area = RL + r^2

r = 3, L = 12

3 * 12 + 3^2 =

36 + 9 = 45 pi units^2

Answer is C


Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is clear that the radius of the cone is 3 units and slant height of the cone is 12 units.

The surface area of the right cone is

[tex]Area=\pi rl+\pi r^2[/tex]

Where, r is radius, l is slant height.

Substitute r=3 and l=12 in the above formula.

[tex]Area=\pi (3)(12)+\pi (3)^2[/tex]

[tex]Area=36\pi+9\pi[/tex]

[tex]Area=(36+9)\pi[/tex]

[tex]Area=45\pi[/tex]

The surface area of the given right cone is 45π units².

Therefore the correct option is C.