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What is the answer to this problem?

What Is The Answer To This Problem class=

Sagot :

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].

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