If the radius is divided by 3 then the volume is divided by 27. Then the correct option is C.
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³
A sphere has a radius of 12 in.
If the radius is divided by 3.
Then the effect on the volume will be
If r is 12, then the volume is V₁.
And if r is 12/4, then the volume is V₂.
Then the ratio of the volumes will be
V₁ / V₂ = 4/3 π(12)³ / 4/3 π(12/3)³
V₁ / V₂ = 3³
V₁ / V₂ = 27
If the radius is divided by 3 then the volume is divided by 27.
Then the correct option is C.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
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