Respuesta :

Answer: [tex]6.2\ cm[/tex]

Step-by-step explanation:

Given

The volume of the sphere is [tex]V=996\ cm^3[/tex]

Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]

Insert the values

[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]

Thus, the radius of the sphere is [tex]6.2\ cm[/tex]