NIELIT 2016 MAR Scientist C - Section B: 6

Question

If $y=f(x)$, in the interval $[a,b]$ is rotated about the $x$-axis, the Volume of the solid of revolution is $(f’(x)=dy/dx)$

• A. $\int_{a}^{b} \pi [f(x)]^{2} dx \\$
• B. $\int_{a}^{b}[f(x)]^{3} dx \\$
• C. $\int_{a}^{b} \pi [{f}'(x)]^{2} dx \\$
• D. $\int_{a}^{b} \pi^{2} f(x)dx \\$