The volume of a sphere is ​ 288π ​ cm³. what is the radius of the sphere? enter your answer in the box. cm

Answer: 6 cm 

Explanation:

Let r = radius of the sphere. Then, the volume of the sphere is given by 

Volume = [tex]\frac{4}{3} \pi r^3[/tex]     (1)

Since the volume is 288π cm³, equation (1) becomes

[tex]288 = \frac{4}{3} \pi r^3 \newline \indent \frac{4}{3} \pi r^3 = 288\pi \newline \indent \frac{4\pi r^3}{3} = 288\pi \newline \indent 3\left (\frac{4\pi r^3}{3} \right ) = 3(288\pi) \newline \newline \indent 4\pi r^3 = 864\pi \newline \newline \indent \frac{4\pi r^3}{4\pi} = \frac {864\pi}{4\pi} \newline \newline \indent r^3 = 216 \newline \indent r = \sqrt[3]{216} \newline \indent \boxed{r = 6} [/tex]

Hence, the radius is 6 cm.