225k views
2 votes
I need help to find an surface area! I will include a full photo.

I need help to find an surface area! I will include a full photo.-example-1
User Sirmak
by
4.5k points

1 Answer

5 votes

ANSWER:

99.9 square meters

Explanation:

We have that the area of a cone is given by the following equation


A_T=A_L+A_B

Where the lateral area and the base area are calculated as follows:


\begin{gathered} A_L=\pi\cdot r\cdot g_{} \\ A_B=\pi\cdot r^2 \end{gathered}

Replacing in each case, g = 7.6 m and r = 3 m:


\begin{gathered} A_L=3.14\cdot3\cdot7.6_{}=71.6 \\ A_B=3.14\cdot3^2=28.3 \end{gathered}

Therefore the surface area would be:


\begin{gathered} A_T=71.6+28.3 \\ A_T=99.9 \end{gathered}

User Spersico
by
4.6k points