The volume of the cone is given as:
![V=(1)/(3)h\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/k5lw90k4qk8guk20wgk007s5mxm9yvq0en.png)
where h is the height and r is the radius of the base. From this formula we notice that we have:
![\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/ptr0qrr4mhrdlntiy0x3rg3tx93ixeolww.png)
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:
![V=(1)/(3)(4.4)(12.3)=18.04](https://img.qammunity.org/2023/formulas/mathematics/college/dtuanzsu479mwsbjlvrrg5mp3nq5e56i6q.png)
Therefore the volume (capacity) of the cone is 18.04 cubic inches.