Answer:
Surface area of cone is
![502.4\ ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r5fecqafwoigdprs5luwg9ybp14z3t59yd.png)
Explanation:
Given:
radius of a cone (r) = 8 feet
slant height of cone (l) = 12 feet
We need to find the surface area of cone.
Total surface area of cone = Area of circle
Area of curved surface
Now we know that,
Area of circle =
![\pi r^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/69e2ijkvwardlu2n5rrgtkpqc3b44mcw34.png)
Area of curved surface =
![\pi rl](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4fvbolb21n95tgekoit9kfq81yf497dtil.png)
Hence Total surface area of cone =
![\pi r^2+\pi rl=\pi r(r+l) = 3.14 * 8 (8+12)=3.14*8*20= 502.4 \ ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9qtupgk24dg5tphyz4tdar8bexo5s6oevn.png)
Surface area of cone is
.