Finding the radius from it's surface area, the volume of the sphere is of 268.08 cm³.
For an sphere of radius r, we have that the surface area is given by:
[tex]S = 4\pi r^2[/tex]
The volume is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Considering the surface area of 200.96 cm², the radius is given by:
[tex]S = 4\pi r^2[/tex]
[tex]200.96 = 4\pi r^2[/tex]
[tex]r = \sqrt{\frac{200.96}{4\pi}}[/tex]
r = 4 cm
Hence the volume is given by:
[tex]V = \frac{4\pi \times 4^3}{3} = 268.08 \text{cm}^3[/tex]
More can be learned about the volume of an sphere at https://brainly.com/question/25608353
#SPJ1
