Respuesta :

Given  ↓

  • Radius of sphere = 5 in

To Find ↓

  • The volume of the sphere

Calculations ↓

[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]