To determine the volume of a sphere, you need to use the formula:
[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]
where [tex]\( r \)[/tex] is the radius of the sphere.
1. The diameter of the ball is given as 24 cm.
2. The radius is half of the diameter, so:
[tex]\[ r = \frac{24}{2} = 12 \text{ cm} \][/tex]
3. We substitute the radius into the volume formula:
[tex]\[ V = \frac{4}{3} \pi (12)^3 \][/tex]
Thus, the correct equation to use for finding the volume is:
[tex]\[ V = \frac{4}{3} \pi 12^3 \][/tex]