Answer:
C.606.32yd²
Step-by-step explanation:
To find the surface area of a cone we use the formula:
[tex]A=\pi rl+\pi r^{2}[/tex]
We need to look for the length before finding the surface area.
The formula for the length will be:
[tex]l=\sqrt{r^{2}+h^{2} }[/tex]
Let's break down the variables we have.
h = 14 yd
r = 8 yd
Let's find the length first:
[tex]l=\sqrt{r^{2}+h^{2} }[/tex]
[tex]l=\sqrt{8^{2}+14^{2} }[/tex]
[tex]l=\sqrt{r^{2}+h^{2} }[/tex]
[tex]l=16.125[/tex]
So let's substitute the variables into the formula.
[tex]A=\pi rl+\pi r^{2}[/tex]
[tex]A=\pi (8)(16.125)+\pi 8^{2}[/tex]
[tex]A=\pi 129+\pi 64[/tex]
[tex]A=405.26+201.06[/tex]
[tex]A=606.32yd^{2}[/tex]
