Answer:
x=5 assuming that x is the radius.
x is the radius?
Step-by-step explanation:
is the volume of a sphere.
We are given
cubic units.
We are asked to find the value of x. If x is not the radius, please correct me:
with
and the assumption that x is r.
![\frac{500}{3}\pi=\frac{4}{3}\pi x^3](https://tex.z-dn.net/?f=%5Cfrac%7B500%7D%7B3%7D%5Cpi%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20x%5E3)
If you multiply both sides by 3, then you would have:
![500 \pi=4 \pi x^3](https://tex.z-dn.net/?f=500%20%5Cpi%3D4%20%5Cpi%20x%5E3)
If you divide both sides by
you will have:
![500=4x^3](https://tex.z-dn.net/?f=500%3D4x%5E3)
If you divide both sides by 4, you will have:
![125=x^3](https://tex.z-dn.net/?f=125%3Dx%5E3)
The last step would be to take the cube root of both sides:
![\sqrt[3]{125}=x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%3Dx)
![5=x](https://tex.z-dn.net/?f=5%3Dx)
![x=5](https://tex.z-dn.net/?f=x%3D5)