Question

Use a net to find the surface area of the cone to the nearest square centimeters. Use 3.14 for round to the nearest whole number as needed

Answer 1

The surface area of the cone is 813 square cm

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

`\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}`
`\begin{gathered} S\mathrm{}A\text{ = 3.14}*8\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 }*32.352 \\ S\mathrm{}A\text{ = 812.6} \\ SA\approx813cm^2 \end{gathered}`