So the equation for the volume of the sphere is [tex]V= \frac{4}{3} \pi r^3[/tex] .
For this, you'll need to plug in 128 pi into the volume placeholder and solve for r.
[tex]128 \pi = \frac{4}{3} \pi r^3[/tex]
Firstly, divide by pi on each side of the equation to cancel out pi. Your equation will look like this: [tex]128=\frac{4}{3}r^3[/tex]
Next, you'll want to multiply 3/4 on each side to cancel out 4/3. Your equation will look like this: [tex]96=r^3[/tex]
Lastly, you'll want to 3rd root each side of the equation, and your answer should be [tex]4.58=r[/tex] . The correct option is B. 4.58
