Answer: [tex]77.283km^{2}[/tex]
Step-by-step explanation:
The formula for the lateral area of a cone [tex]L.A[/tex] is:
[tex]L.A=\pi r h[/tex]
Where:
[tex]r=10km[/tex] is the radius of the circular base of the cone
As we know its diameter [tex]d=20km[/tex], its radius is [tex]r=\frac{d}{2}=10km[/tex]
[tex]h=2.46km[/tex] is the height of the cone
[tex]L.A=\pi (10km)(2.46km)[/tex]
[tex]L.A=77.283km^{2}[/tex] This is the lateral area of the volcano with the shape of a cone
