What are the lateral area of the cone shown below? Round the answers to the nearest tenth. The figure is not drawn to scale.

Answer:
The correct option is 1.
Step-by-step explanation:
From the given figure it is clear that
[tex]r=11ft[/tex]
[tex]l=24ft[/tex]
The lateral area of cone is
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi \times 11\times 24[/tex]
[tex]A_L=829.380460548[/tex]
[tex]A_L\approx 829.4ft^2[/tex]
The surface area of cone is
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi \times 11\times 24+\pi \times 11\times 11[/tex]
[tex]A_S=1209.51317163[/tex]
[tex]A_S\approx 1209.5ft^2[/tex]
Therefore option 1 is correct.