Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
According to the problem,
[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]
Eliminating π from both the side.
or, [tex]\frac{4}{3} r^{3}= 12348[/tex]
or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]
or, [tex]r^{3}=9641[/tex]
or, [tex]r=\sqrt[3]{9261}[/tex]
or, [tex]r=21[/tex]
Hence,
The radius of the sphere is 21 inches.
