The volume of the cone is given by:
[tex]V=\frac{1}{3}\pi r^2h[/tex]where r is the radius and h is the height.
In this case we have that the radius is 8 meters, this comes from the fact that the radius is half the diameter. Now the height is 1.5 times the radius, this meand that the height is:
[tex]h=1.5\cdot8=12[/tex]Plugging the values into the formula we have that the volume is:
[tex]V=\frac{1}{3}\pi(8)^2(12)=804.2[/tex]Therefore the volume is 804.2 cubic meters.
