Find the volume of a sphere whose diameter is 12 cm.

Correct option is B

Given:

$$\text{Radius} = \frac{\text{Diameter}}{2} = \frac{12 \, \text{cm}}{2} = 6 \, \text{cm}$$​

Formula Used:

Volume of sphere: $$\frac{4}{3} \cdot \pi \cdot r^3$$​​

where, r is the radius

Solution:​

Substituting the value of r:

​$$\text{Volume} = \frac{4}{3} \cdot \pi \cdot (6 \, \text{cm})^3$$​​

​$$\text{Volume} \approx \bf 288 \bf \pi \, \text{cubic centimeters}$$​​