For this case we have that by definition, the volume of a sphere is given by:
![V = \frac {4} {3} \pi * r ^ 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ocpp0kio2hhvh951x3b7vdjmqc747reheh.png)
Where:
r: It is the radius of the sphere
According to the data we have to:
![r = 3 \ cm](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zu7v2j3l3hbtjhqb0gxsiu2gr7vobc24ab.png)
Substituting we have:
![V = \frac {4} {3} \pi * 3 ^ 3\\V = \frac {4} {3} \pi * 27\\V = 36 \pi\\V = 113](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8xrs6vvwp1iv1recmr4rfzb4gj8kncgcv7.png)
The option that best fits is option B.
Answer:
![V=113 \ cm^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wg9vt8iq9sfod6177z0aasyko225iu6jp6.png)
The option that best fits is option B.