Answer: [tex]r=6\ cm[/tex]
Step-by-step explanation:
The volume of a sphere can be calculated with the following formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "V" is the volume and "r" is the radius.
In this case, you know that the volume of the orange is:
[tex]V=288\pi[/tex]
Having this value, you can substitute it into the formula:
[tex]288\pi=\frac{4}{3}\pi r^3[/tex]
Finally, you must solve for "r" in order to calculate the radius ot the orange.
This is:
[tex]3(288\pi)=4\pi r^3\\\\\sqrt[3]{\frac{3(288\pi)}{4\pi } }=r\\\\r=6\ cm[/tex]
