Respuesta :

The formula to find the surface area of a cone is pi*r squared + pi*r*length. In this case, it would be pi*3 squared which is 9pi. You then add that to pi*3*15 which is 45pi. The answer is 54pi. Hope this helped!

Answer:

Option C

Step-by-step explanation:

Given in the picture is a right circular cone with base radius = 3 units and length = 15 units.

We have to find the surface area of the cone.

The total surface area of the cone is the sum of base area + lateral surface area

Base area = area of a circle = [tex]\pi r^2[/tex]

Lateral area of cone = [tex]\pi rl[/tex] where l = length of the cone.

Hence total surface area

= [tex]\pi r (r+l)\\=\pi (3)(3+15)\\=54\pi[/tex] square units

Option C is the answer.