The volume of the cone is given as:
[tex]V=\frac{1}{3}h\pi r^2[/tex]where h is the height and r is the radius of the base. From this formula we notice that we have:
[tex]\pi r^2[/tex]and that this is the area of the base (the circle). Since we know this value already we can plug it in the volume formula, hence we have:
[tex]V=\frac{1}{3}(4.4)(12.3)=18.04[/tex]Therefore the volume (capacity) of the cone is 18.04 cubic inches.