The lateral area is given by:
[tex] Al = \pi * r * g
[/tex]
Where,
r: cone circular base radius
g: inclined height
Substituting values we have:
[tex]Al = 3.14 * 3 * 8.5
Al = 80.07 cm ^ 2[/tex]
The surface area is given by:
[tex] A = Al + \pi * r ^ 2
[/tex]
Where,
r: cone circular base radius
Al: lateral area
Substituting values:
[tex]A = 80.07 + 3.14 * (3) ^ 2
A = 108.33 cm ^ 2[/tex]