Question

Surface area of cone with radius of 7 and slant hight of 9

Answer 1

The total surface area of a cone with a radius of 7 and a slant height of 9 would be around 351.858.

The lateral surface area of a cone with a radius of 7 and a slant height of 9 would be around 197.92.

You can use cone formulas to fine the surface areas, like the formula to find the slant height of the cone, to find the height of the cone and then solve for the area.

Hope this helps!

Answer 2

$\bf \textit{surface area of a cone}\\\\ SA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}+\pi r^2~~ \begin{cases} r=7\\ \sqrt{r^2+h^2}=9 \end{cases} \\\\\\ SA=\pi (7)(9)+\pi (7)^2\implies SA=63\pi +49\pi \implies SA=112\pi$