Answer:
The volume of this sphere = [tex]\frac{4}{3}\times \pi r^{3}[/tex]
Step-by-step explanation:
The region enclosed by the semicircle is revolved completely around the x-axis . Then the solid formed is a sphere of the same radius as that of the semicircle. We have to find the volume of this sphere. If the semicircle had center at the origin then the sphere also has the center at the origin.
Let the radius of given circle = r
Surface area of this sphere = [tex]4\pi r^{2}[/tex]
The volume of this sphere = [tex]\frac{4}{3}\pi\times r^{3}[/tex]
This is the volume of the required solid.
