Answer:
301.44 cm ^ 2
Explanation:
We have that the total surface area of a cone would be the sum of the base area and the lateral surface area.
the area of the base, being a circle is pi * r ^ 2
the lateral area would come being the multiplication between the inclined height, the radius and the number pi, that is to say pi * r * l
the inclined height is calculated using the Pythagorean theorem, the legs being the radius and the altitude, thus:
l ^ 2 = 6 ^ 2 + 8 ^ 2
l ^ 2 = 100
l = 10
Therefore, we can replace:
A = 3.14 * 6 ^ 2 + 3.14 * 10 * 6
A = 301.44
It means that the total surface area is 301.44 cm ^ 2