Respuesta :

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

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