ANSWER:
99.9 square meters
STEP-BY-STEP EXPLANATION:
We have that the area of a cone is given by the following equation
[tex]A_T=A_L+A_B[/tex]
Where the lateral area and the base area are calculated as follows:
[tex]\begin{gathered} A_L=\pi\cdot r\cdot g_{} \\ A_B=\pi\cdot r^2 \end{gathered}[/tex]
Replacing in each case, g = 7.6 m and r = 3 m:
[tex]\begin{gathered} A_L=3.14\cdot3\cdot7.6_{}=71.6 \\ A_B=3.14\cdot3^2=28.3 \end{gathered}[/tex]
Therefore the surface area would be:
[tex]\begin{gathered} A_T=71.6+28.3 \\ A_T=99.9 \end{gathered}[/tex]
