Respuesta :
Answer: The radius is 3 inches.
Step-by-step explanation:
Formula : Volume of sphere = [tex]\dfrac{4}{3}\pi r^3[/tex], here r= radius of the sphere.
Given, the volume of a spherical ball is 113.04 cubic inches.
[tex]\Rightarrow\dfrac{4}{3}\pi r^3=113.04\\\\\Rightarrow r^3=\dfrac{113.04\times3}{4\pi}[/tex]
Substitute , [tex]\pi=\dfrac{22}{7}[/tex]
[tex]\Rightarrow\ r^3=\dfrac{113.04\times3}{4\times\dfrac{22}{7}}\\\\\Rightarrow\ r^3=\dfrac{113.04\times3\times7}{4\times22}\\\\\Rightarrow\ r^3=26.9754545455\approx27\\\\\Rightarrow\ r=3\text{ inches}[/tex]
Hence, the radius is 3 inches.