Answer:
Step-by-step explanation:
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex]
We are told our volume is 500pi/3, so we fill that in and solve for r:
[tex]\frac{500\pi}{3}=\frac{4}{3}\pi r^3[/tex]
Start by multiplying both sides by 3 over 4 pi:
[tex](\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3[/tex]
Simplifying gives us
[tex]125=r^3[/tex]
Take the cubed root of both sides to get that
r = 5
