Answer:
The formula of a surface area of a cone:
SA=pi rl+\pi r^2SA=pirl+πr
2
r - radius
l - slant height
We have the diameter d = 6 in and a slant height l = 8 in.
d=2r\to r=6in:2=3ind=2r→r=6in:2=3in
Substitute:
SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3
2
)=24π+9π=
33π in
2
