MTH102 TMA4 Questions and Solutions : Find the volume of a sphere generated by a semicircle \[y=\sqrt(r^{2}-x^{2})\] revolving around the x-axis

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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