Question

What is the value of x?​

Answer 1

Explanation:

The volume of a sphere is

`V=(4)/(3)\pi r^3`

We are told our volume is 500pi/3, so we fill that in and solve for r:

`(500\pi)/(3)=(4)/(3)\pi r^3`

Start by multiplying both sides by 3 over 4 pi:

`((3)/(4\pi))(500\pi)/(3)=((3)/(4\pi))(4\pi)/(3)r^3`

Simplifying gives us

`125=r^3`

Take the cubed root of both sides to get that

r = 5