Question

The cone of the volcano has a height of 402 meters and a diameter of 434 meters. Find the volume of thecone. Round your answer to the nearest hundred thousand. Use 3.14 for .The volume of the cone is aboutm3

Answer 1

The volume of a cone with height h and radius r is given by the formula:

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

Since the volcano has a heihgt of 402 meters, then h=402m. Since the radius is half the diameter and the diameter of the volcano is 434 meters, then r=217m. Substitute those values, using 3.14 for the constant π:

`\begin{gathered} V=3.14*(217m)^2*(402m)/(3) \\ =3.14*47089m^2*134m \\ =19,813,167.64m^3 \end{gathered}`

To the nearest hundred thousand, then:

`V=19,800,000m^3`