If the volume of a spherical ball is 113.04 cubic inches, what is the radius?

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Answer: The radius is 3 inches.

Step-by-step explanation:

Formula : Volume of sphere = \(\dfrac{4}{3}\pi r^3\), here r= radius of the sphere.

Given, the volume of a spherical ball is 113.04 cubic inches.

\(\Rightarrow\dfrac{4}{3}\pi r^3=113.04\\\\\Rightarrow r^3=\dfrac{113.04\times3}{4\pi}\)

Substitute , \(\pi=\dfrac{22}{7}\)

\(\Rightarrow\ r^3=\dfrac{113.04\times3}{4\times\dfrac{22}{7}}\\\\\Rightarrow\ r^3=\dfrac{113.04\times3\times7}{4\times22}\\\\\Rightarrow\ r^3=26.9754545455\approx27\\\\\Rightarrow\ r=3\text{ inches}\)

Hence, the radius is 3 inches.