ANSWER
The surface area of the cone is 813 square cm
STEP-BY-STEP EXPLANATION:
Given information
The radius of the cone = 8cm
The height of the cone = 23cm
To find the surface area of the cone, we will need to apply the below formula
[tex]\begin{gathered} S.A\text{ = }\pi r(r\text{ }+\text{ }\sqrt[]{h^2+r^2)} \\ \text{Where,} \\ \pi\text{ = 3.14} \\ r=\text{ 8}cm \\ h\text{ = 23}cm \end{gathered}[/tex][tex]\begin{gathered} S\mathrm{}A\text{ = 3.14}\times8\text{ (8 + }\sqrt[]{23^2+8^2} \\ S\mathrm{}A\text{ = 25.12(8 + }\sqrt[]{529\text{ + 64)}} \\ S\mathrm{}A\text{ = 25.12( 8 +}\sqrt[]{593} \\ S\mathrm{}A\text{ = 25.12( 8 + 24.352} \\ S\mathrm{}A\text{ = 25.12 }\times32.352 \\ S\mathrm{}A\text{ = 812.6} \\ SA\approx813cm^2 \end{gathered}[/tex]
