Answer:
5 Inches.
Step-by-step explanation:
Given the volume of a sphere[tex]=\dfrac{500\pi}{3} $ cubic inches[/tex]
We want to determine the radius of the sphere.
Volume of a Sphere [tex]=\dfrac{4\pi r^3}{3}[/tex]
Therefore:
[tex]\dfrac{4\pi r^3}{3}=\dfrac{500\pi}{3} \\$Multiply both sides by$ \dfrac{3}{\pi} \\4 r^3=500\\$Divide both sides by 4\\r^3=125\\r^3=5^3\\r=5$ inches[/tex]
The radius of the sphere is 5 Inches.
