Question

What is the answer to this problem?

Answer 1

Answer:

$r=\dfrac{2}{3}\ yards$

Step-by-step explanation:

Given that,

The volume of a sphere is, $V=\dfrac{32}{81}\pi$ cubic yards

We need to find the radius of the sphere. The formula for the volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^2$

Put all the values,

$\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards$

So, the radius of the sphere is equal to $\dfrac{2}{3}\ yards$.