Question

Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. Then use your result to find the surface area of the cone. Use 3.14 for π. Round the final answer to the nearest hundredth.

height: 10 yards
diameter: 16 yards

Answer 1

522.75 yards2 is correct.

Explanation:

Answer 2

Check the picture below.

`\bf \textit{surface area of a cone}\\\\ SA=\pi r√(r^2+h^2)+\pi r^2\qquad \implies SA=\pi (8)√(164)+ \pi (8)^2 \\\\\\ SA=8\pi √(164)+ 64\pi \implies \stackrel{\pi =3.14~\hfill }{SA\approx 522.65296}\implies \stackrel{\textit{rounded up}}{SA=522.65}`