Respuesta :

osikbro

Answer:

2/3 yards or 2 feet

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex], meaning that you can set up the following equation:

[tex]\dfrac{32\pi}{81}=\dfrac{4}{3}\pi r^3[/tex]

Divide both sides by [tex]\frac{4}{3}\pi[/tex]:

[tex]\dfrac{8}{27}=r^3[/tex]

Take the cube root of both sides:

[tex]r=\dfrac{2}{3}[/tex] yards. Hope this helps!

altavistard

Answer:

Step-by-step explanation:

The formula for the volume of a sphere of radius r is   V = (4/3)(π)r^3.  

Here we know the volume is V = (32/81)πr^3, but want to find the radius.

                                                                                V

Solving the above formula for r^3, we get  -----------------

                                                                           (4/3)(π)                  

                                                         32(π)  

and so, with V = (4/3)(π)r^3,   r^3 = ----------

                                                             81

The radius of the sphere is the cube root of the above equation:

r = ∛ [(32(π)  / 81 ]