Find the radius of a sphere with a volume of 972π cubic millimeters.

The radius is 9 mm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3  where r is the radius

972 pi  = 4/3 pi r^3

Divide each side by pi

972 = 4/3 r^3

Multiply each side by 3/4 to isolate r^3

3/4 * 972 = 4/3 * 3/4 r^3

729 = r^3

Take the cube root of each side

(729) ^ (1/3) = (r^3) ^ (1/3)

9 = r

The radius is 9 mm

9 mm

Step-by-step explanation:

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