Question

The cone of the volcano has a height of 411 meters and a diameter of 436 meters. Find the volume of thecone. Round your answer to the nearest hundred thousand. Use 3.14 for it.The volume of the cone is aboutIm3

Answer 1

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:

`V_(cone)=\pi r^2(h)/(3)`

The values of unknowns from the given question are:

`\begin{gathered} \pi=3.14 \\ r=(436)/(2)m=218m \\ h=411m \end{gathered}`

Therefore the volume of the cone is:

`V_(cone)=\pi\cdot(218m)^2\cdot(411m)/(3)=2.05*10^7m^3`