X= -3
2/3x-10=12
Step 1: Add 10 to both sides.
2/3x=-2
Step 2: Multiply both sides by 3/2.
x= -3
Answer:
Step-by-step explanation:
The volume of a sphere is
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
We are told our volume is 500pi/3, so we fill that in and solve for r:
![\frac{500\pi}{3}=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B500%5Cpi%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Start by multiplying both sides by 3 over 4 pi:
![(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%5Cpi%7D%29%5Cfrac%7B500%5Cpi%7D%7B3%7D%3D%28%5Cfrac%7B3%7D%7B4%5Cpi%7D%29%5Cfrac%7B4%5Cpi%7D%7B3%7Dr%5E3)
Simplifying gives us
![125=r^3](https://tex.z-dn.net/?f=125%3Dr%5E3)
Take the cubed root of both sides to get that
r = 5
Answer:
125
Step-by-step explanation:
All the work is in picture attat