Volume of a cone is given by;
[tex]V=\frac{1}{3}\pi^{}r^3h[/tex]From the queston,
h = 414
diameter = 416, this implies r = d/2 = 416/2 = 208
Ï€ = 3.14
substitute the values into the formula
[tex]V=\frac{1}{3}\times3.14\text{ }\times208^2\times414[/tex][tex]=18747156.48[/tex][tex]\approx18700000m^3[/tex]