Answer:
The radius of a sphere would be 12 cm.
Step-by-step explanation:
The formula for the volume of the sphere =
[tex]V=\frac{4}{3}\pi r^3[/tex]
By putting the value of volume we can find the radius of the sphere.
Volume of the sphere = 2304 π cm³
[tex]2304\pi =\frac{4}{3}\pi r^3[/tex]
[tex]2304=\frac{4}{3} r^3[/tex]
[tex]2304\times \frac{3}{4}=\frac{3}{4}\times \frac{4}{3}r^3[/tex]
[tex]2304\times \frac{3}{4}=r^3[/tex]
576 × 3 = r³
[tex]r=\sqrt[3]{1728}[/tex]
r = 12
The radius of a sphere would be 12 cm.