Answer:
The volume of the ball is [tex]V=2,304\pi\ cm^{3}[/tex] or [tex]V=7,234.56\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the sphere ( a ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=24/2=12\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]V=\frac{4}{3}\pi (12)^{3}[/tex]
[tex]V=2,304\pi\ cm^{3}[/tex] ----> exact value of the volume
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=2,304(3.14)=7,234.56\ cm^{3}[/tex] -----> approximate value