Answer:
673.3 cm² (1 d.p.)
Step-by-step explanation:
Surface Area of a Cone
[tex]\sf SA=\pi r \left(r+\sqrt{h^2+r^2}\right)[/tex]
where:
Given:
Substitute the given values into the formula and solve for SA:
[tex]\implies \sf SA=\pi (8) \left(8+\sqrt{17^2+8^2}\right)[/tex]
[tex]\implies \sf SA=\pi (8) \left(8+\sqrt{353}\right)[/tex]
[tex]\implies \sf SA=\left(64+8\sqrt{353}\right)\pi[/tex]
[tex]\implies \sf SA=673.2632668...[/tex]
[tex]\implies \sf SA=673.3\:\:cm^2\:(1\:d.p.)[/tex]
