Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.

2/3 yards or 2 feet

Step-by-step explanation:

The formula for the volume of a sphere is , meaning that you can set up the following equation:

Divide both sides by :

Take the cube root of both sides:

yards. Hope this helps!

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 ]

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step-by-step explanation:

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