Answer: We need to find the volume of the volcano, and it can be modeled as a cone and the volume of a cone is:
[tex]V_{cone}=\pi r^2\frac{h}{3}[/tex]
The values of unknowns from the given question are:
[tex]\begin{gathered} \pi=3.14 \\ r=\frac{436}{2}m=218m \\ h=411m \end{gathered}[/tex]
Therefore the volume of the cone is:
[tex]V_{cone}=\pi\cdot(218m)^2\cdot\frac{411m}{3}=2.05\times10^7m^3[/tex]
