Answer: [tex]V=47,721.9in^3[/tex]
Step-by-step explanation:
The volume of a hemisphere would be 1/2 of the volume of a sphere. The volume of a sphere is defined to be:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Therefore the volume of a hemisphere would be:
[tex]V=\frac{1}{2}( \frac{4}{3} \pi r^3)=\frac{2}{3} \pi r^3[/tex]
Plug everything in:
[tex]V=\frac{2}{3} \pi r^3=\frac{2}{3} \pi (28.35)^3=47,721.9in^3[/tex]