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