# MTH102 TMA3 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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