Answer:
467.99 units²
Step-by-step explanation:
The formula for finding the surface area of a cone is:
[tex]A=\pi r(r+\sqrt{h^{2}+r^{2}})[/tex]
Our values are:
r = 8
h = 7
π = 3.14
Let's plug the values into the formula
[tex]A=\pi 8(8+\sqrt{7^{2}+8^{2}})[/tex]
[tex]A=\pi 8(8+\sqrt{49+64})[/tex]
[tex]A=\pi 8(8+\sqrt{113})[/tex]
[tex]A=\pi 8(8+10.63)[/tex]
[tex]A=\pi 8(18.63)[/tex]
[tex]A= (3.14)(8)(18.63)[/tex]
[tex]A= (25.12)(18.63)[/tex]
[tex]A= 467.99[/tex]units²