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The volume generated by rotating the triangle with vertices at $(0,0),(3,0)$ and $(3,3) $ about $x$-axis is

\[\begin{array}{1 1}(1)18\pi&(2)2\pi\\(3)36\pi&(4)9\pi\end{array}\]

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Required volume = Volume of the cone with base radius =3 ad height =3
$\qquad= \large\frac{1}{3} $$ \pi \times 3^2 \times 3 =9 \pi$
Hence 4 is the correct answer.
answered May 21, 2014 by meena.p

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