Given ↓
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3} \pi r^3}}[/tex]
↑ formula for volume of a sphere
r = 5 in
Plug in the value of r and solve :
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi (5)^3}}}[/tex]
Simplify as follows :
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi *125} }}[/tex]
[tex]\blue{\boxed{V=\frac{4}{3} *392.7}}[/tex]
Final Step :
[tex]\blue{\boxed{\pmb{V=523.6\:in\:^3}}[/tex]
[tex]\footnotesize\text{hope\:helpful}[/tex]