**Find the volume of a sphere generated by a semicircle \[y=\sqrt(r^{2}-x^{2})\] revolving around the x-axis**

a) \[-\pi\frac{-r^{3}}{2}\]

b) \[4\pi\frac{r^{3}}{2}\]

c) \[\pi\frac{r^{3}}{4}\]

**d) \[4\pi\frac{r^{3}}{3}\] **

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