Answer:
[tex]r=\dfrac{2}{3}\ yards[/tex]
Step-by-step explanation:
Given that,
The volume of a sphere is, [tex]V=\dfrac{32}{81}\pi[/tex] cubic yards
We need to find the radius of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^2[/tex]
Put all the values,
[tex]\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards[/tex]
So, the radius of the sphere is equal to [tex]\dfrac{2}{3}\ yards[/tex].
