The volume of a cone with height h and radius r is given by the formula:
[tex]V=\pi r^2\frac{h}{3}[/tex]
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:
[tex]\begin{gathered} V=3.14\times(217m)^2\times\frac{402m}{3} \\ =3.14\times47089m^2\times134m \\ =19,813,167.64m^3 \end{gathered}[/tex]
To the nearest hundred thousand, then:
[tex]V=19,800,000m^3[/tex]
