The volume of the sphere is 500/3π cubic units.

what is the value of x?

1. The formula of the Volume of a sphere is V(r)=

2. the radius is x, and the resulting volume is  

3. 

multiply both sides by 3 and divide them by :





(units)

The volume of a sphere is given by:
4/3 * πr³
From the figure, we can see that x is the radius of the sphere. Therefore, we may substitute x in the formula for volume and equate it to the given volume as follows:
500π/3 = 4/3 * πx³
4x³ = 500
x = 5

The value of x is 5 units